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LCM of 204 and 68

What is the LCM of 204 and 68? - The LCM of 204 and 68 is 204. Follow the step by step instructions on how to find the least common multiple of 204 and 68.

Least Common Multiple of 204 and 68

Number 1:
Number 2:

What is the least common multiple of 204 and 68?

Answer: 204

How to find the lcm of 204 and 68?

Method 1 - Listing Multiples

To find the lcm of 204 and 68, we first need to find the multiples of 204 and 68 and then choose the least common multiple that are dividable by 204 and 68.

Multiples of 204 = 204
Multiples of 68 = 68, 136, 204

The least common multiple of 204 and 68 is 204, because 204 is the smallest number that is divisible by both 204 and 68.





Method 2 - Prime Factorization

Another method to find the least common multiple of 204 and 68 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 204 and 68, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 204 = 2 x 2 x 3 x 17 = 22 x 3 x 17
Prime factorization of 68 = 2 x 2 x 17 = 22 x 17
Prime factors to the highest power = 17 x 22 x 3 = 204

LCM of 203 and 68
LCM of 205 and 68
LCM of 204 and 69
LCM of 204 and 67

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