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What is the Least Common Multiple of 6147 and 6152?

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 6147 and 6152 is 37816344.

LCM(6147,6152) = 37816344

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Least Common Multiple of 6147 and 6152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6147 and 6152, than apply into the LCM equation.

GCF(6147,6152) = 1
LCM(6147,6152) = ( 6147 × 6152) / 1
LCM(6147,6152) = 37816344 / 1
LCM(6147,6152) = 37816344

Least Common Multiple (LCM) of 6147 and 6152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6147 and 6152. First we will calculate the prime factors of 6147 and 6152.

Prime Factorization of 6147

Prime factors of 6147 are 3, 683. Prime factorization of 6147 in exponential form is:

6147 = 32 × 6831

Prime Factorization of 6152

Prime factors of 6152 are 2, 769. Prime factorization of 6152 in exponential form is:

6152 = 23 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6147 and 6152.

LCM(6147,6152) = 32 × 6831 × 23 × 7691
LCM(6147,6152) = 37816344