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What is the Least Common Multiple of 6047 and 6051?

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 6047 and 6051 is 36590397.

LCM(6047,6051) = 36590397

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Least Common Multiple of 6047 and 6051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6047 and 6051, than apply into the LCM equation.

GCF(6047,6051) = 1
LCM(6047,6051) = ( 6047 × 6051) / 1
LCM(6047,6051) = 36590397 / 1
LCM(6047,6051) = 36590397

Least Common Multiple (LCM) of 6047 and 6051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6047 and 6051. First we will calculate the prime factors of 6047 and 6051.

Prime Factorization of 6047

Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:

6047 = 60471

Prime Factorization of 6051

Prime factors of 6051 are 3, 2017. Prime factorization of 6051 in exponential form is:

6051 = 31 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 6047 and 6051.

LCM(6047,6051) = 60471 × 31 × 20171
LCM(6047,6051) = 36590397