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What is the Least Common Multiple of 6141 and 6147?

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 6141 and 6147 is 12582909.

LCM(6141,6147) = 12582909

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Least Common Multiple of 6141 and 6147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6141 and 6147, than apply into the LCM equation.

GCF(6141,6147) = 3
LCM(6141,6147) = ( 6141 × 6147) / 3
LCM(6141,6147) = 37748727 / 3
LCM(6141,6147) = 12582909

Least Common Multiple (LCM) of 6141 and 6147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6141 and 6147. First we will calculate the prime factors of 6141 and 6147.

Prime Factorization of 6141

Prime factors of 6141 are 3, 23, 89. Prime factorization of 6141 in exponential form is:

6141 = 31 × 231 × 891

Prime Factorization of 6147

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

6147 = 32 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6141 and 6147.

LCM(6141,6147) = 32 × 231 × 891 × 6831
LCM(6141,6147) = 12582909