Q:

# How do you find the least common multiple?

A:

To find the least common multiple of two numbers, factor the two numbers, noting the frequency of the prime factors, and then multiply the most repeated factors together. Perform division to check your answer when complete.

## Keep Learning

1. Determine the prime factors of the two numbers

Factor the two numbers in the equation until the factors are only prime numbers. For example, to find the least common multiple of 18 and 24, first determine the prime factors of 18 (3 x 3 x 2), and then find the prime factors of 24 (3 x 2 x 2 x 2).

2. Note the most common prime numbers

Underline the factors that appear most frequently in each prime factorization.

3. Multiply all of the prime factors you underlined together and solve

Write an equation that finds the product of the frequent prime factors, and multiply these numbers together. Using the example from Step 2, the equation would be 3 x 3 x 2 x 2 x 2. Therefore, the product and the least common multiple of 18 and 24 is 74.

Check the work by dividing the least common multiple by both of the factors. The answer should be a positive and whole number.

Sources:

## Related Questions

• A: The least common multiple, or LCM, of 35 and 10 is 70. Use prime factorization of both numbers to find the least common multiple. Prime factorization invol... Full Answer >
Filed Under:
• A: Long division is a method of dividing two numbers or polynomials by finding the digit of the quotient one at a time, working from highest place to lowest. ... Full Answer >
Filed Under:
• A: To calculate the percentage between two numbers, determine the type of percentage needed. Then, subtract one number from the other, and divide it based on ... Full Answer >
Filed Under:
• A: Multiplying two numbers with like signs, either two positive numbers or two negative numbers, yields a positive number. Numbers not preceded by a sign are ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR