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What is the Least Common Multiple of 6127 and 6140?

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 6127 and 6140 is 37619780.

LCM(6127,6140) = 37619780

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Least Common Multiple of 6127 and 6140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6127 and 6140, than apply into the LCM equation.

GCF(6127,6140) = 1
LCM(6127,6140) = ( 6127 × 6140) / 1
LCM(6127,6140) = 37619780 / 1
LCM(6127,6140) = 37619780

Least Common Multiple (LCM) of 6127 and 6140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6127 and 6140. First we will calculate the prime factors of 6127 and 6140.

Prime Factorization of 6127

Prime factors of 6127 are 11, 557. Prime factorization of 6127 in exponential form is:

6127 = 111 × 5571

Prime Factorization of 6140

Prime factors of 6140 are 2, 5, 307. Prime factorization of 6140 in exponential form is:

6140 = 22 × 51 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 6127 and 6140.

LCM(6127,6140) = 111 × 5571 × 22 × 51 × 3071
LCM(6127,6140) = 37619780