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What is the Least Common Multiple of 6079 and 6099?

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 6099 is 37075821.

LCM(6079,6099) = 37075821

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Least Common Multiple of 6079 and 6099 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 6099, than apply into the LCM equation.

GCF(6079,6099) = 1
LCM(6079,6099) = ( 6079 × 6099) / 1
LCM(6079,6099) = 37075821 / 1
LCM(6079,6099) = 37075821

Least Common Multiple (LCM) of 6079 and 6099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6079 and 6099. First we will calculate the prime factors of 6079 and 6099.

Prime Factorization of 6079

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

6079 = 60791

Prime Factorization of 6099

Prime factors of 6099 are 3, 19, 107. Prime factorization of 6099 in exponential form is:

6099 = 31 × 191 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6079 and 6099.

LCM(6079,6099) = 60791 × 31 × 191 × 1071
LCM(6079,6099) = 37075821