## TOOL: LCM CALCULATOR USING PRIME FACTORIZATION

#### LCM PRIME FACTORIZATION CALCULATOR

Enter whole numbers greater than 1. RESULT

Common prime factors are underlined and written in green.

• 24 = 2 × 2 × 2 × 3
• 30 = 2 × 3 × 5

LCM is equal to the multiplication of the prime factors. But the common prime factors are multiplied only once.

• LCM(24, 30) = 2 × 3 × 2 × 2 × 5 = 120 DESCRIPTIONS

Prime factorization of 24 :

(24 = 2 × 2 × 2 × 3)

(Click here to see the prime factorization of 24 using the upside-down division method) Prime factorization of 30 :

(30 = 2 × 3 × 5)

(Click here to see the prime factorization of 30 using the upside-down division method)

Common prime factors of 24 and 30 are 2, 3 and 3. LCM is equal to the product of the prime factors. But the common prime factors are multiplied only once.

LCM(24, 30) = 2 × 3 × 2 × 2 × 5 = 120 OTHER INFORMATION

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## INFORMATION

### FINDING LCM USING PRIME FACTORIZATION

In addition to the cake method, we can calculate the LCM of two numbers by using prime factorization. Once we find the prime factorization of the given numbers by using the factorization tree or the upside-down division method, we mark the common prime factors. In order to find the LCM, we multiply all prime factors but the common prime factors are used only once in the multiplication.

### WHAT IS LCM PRIME FACTORIZATION CALCULATOR?

LCM prime factorization calculator,

• Calculates the LCM using the prime factorization algorithms,
• Finds the prime factorizations of the given numbers,
• Indicates the common and uncommon prime factors and
• Graphically illustrates the factorization trees of the given numbers.

### HOW TO USE LCM PRIME FACTORIZATION CALCULATOR?

You can use the LCM prime factorization calculator in two ways.

• #### USER INPUTS You can enter whole numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS You can click on the DIE ICON next to the input boxes. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### CLEARING THE INPUT BOXES To calculate the LCM of other numbers you can clear the input boxes by clicking on the CLEAR button under the input boxes.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

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