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What is the Least Common Multiple of 6076 and 6084?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6076 and 6084 is 9241596.

LCM(6076,6084) = 9241596

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Least Common Multiple of 6076 and 6084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6076 and 6084, than apply into the LCM equation.

GCF(6076,6084) = 4
LCM(6076,6084) = ( 6076 × 6084) / 4
LCM(6076,6084) = 36966384 / 4
LCM(6076,6084) = 9241596

Least Common Multiple (LCM) of 6076 and 6084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6084. First we will calculate the prime factors of 6076 and 6084.

Prime Factorization of 6076

Prime factors of 6076 are 2, 7, 31. Prime factorization of 6076 in exponential form is:

6076 = 22 × 72 × 311

Prime Factorization of 6084

Prime factors of 6084 are 2, 3, 13. Prime factorization of 6084 in exponential form is:

6084 = 22 × 32 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 6076 and 6084.

LCM(6076,6084) = 22 × 72 × 311 × 32 × 132
LCM(6076,6084) = 9241596