# What is the least common multiple for 4 and 6 ?

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The Lonely Donut
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Feb 12, 2017

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To find the LCM of two numbers (or any amount of numbers) we must first find the prime factorization of each number separately.

Let's take the number

# 4 = 2 * 2 #

# 4 = 2^2 #

Now the number

# 6 = 2 * 3 #

From here we must determine the factors of each number with the highest exponent.

For example, both the number

# 2^2 #

Another factor that appears is the number

# 2^2 * 3 #

Simplify from here.

# 4 * 3 #

# 12 #

So therefore, the LCM of

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