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What is the Least Common Multiple of 6079 and 6096?

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 6079 and 6096 is 37057584.

LCM(6079,6096) = 37057584

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Least Common Multiple of 6079 and 6096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6079 and 6096, than apply into the LCM equation.

GCF(6079,6096) = 1
LCM(6079,6096) = ( 6079 × 6096) / 1
LCM(6079,6096) = 37057584 / 1
LCM(6079,6096) = 37057584

Least Common Multiple (LCM) of 6079 and 6096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6079 and 6096. First we will calculate the prime factors of 6079 and 6096.

Prime Factorization of 6079

Prime factors of 6079 are 6079. Prime factorization of 6079 in exponential form is:

6079 = 60791

Prime Factorization of 6096

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

6096 = 24 × 31 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6079 and 6096.

LCM(6079,6096) = 60791 × 24 × 31 × 1271
LCM(6079,6096) = 37057584