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What is the Least Common Multiple of 6096 and 6116?

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 6096 and 6116 is 9320784.

LCM(6096,6116) = 9320784

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Least Common Multiple of 6096 and 6116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6096 and 6116, than apply into the LCM equation.

GCF(6096,6116) = 4
LCM(6096,6116) = ( 6096 × 6116) / 4
LCM(6096,6116) = 37283136 / 4
LCM(6096,6116) = 9320784

Least Common Multiple (LCM) of 6096 and 6116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6116. First we will calculate the prime factors of 6096 and 6116.

Prime Factorization of 6096

Prime factors of 6096 are 2, 3, 127. Prime factorization of 6096 in exponential form is:

6096 = 24 × 31 × 1271

Prime Factorization of 6116

Prime factors of 6116 are 2, 11, 139. Prime factorization of 6116 in exponential form is:

6116 = 22 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6096 and 6116.

LCM(6096,6116) = 24 × 31 × 1271 × 111 × 1391
LCM(6096,6116) = 9320784