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What is the Least Common Multiple of 6139 and 6157?

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 6139 and 6157 is 37797823.

LCM(6139,6157) = 37797823

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Least Common Multiple of 6139 and 6157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6139 and 6157, than apply into the LCM equation.

GCF(6139,6157) = 1
LCM(6139,6157) = ( 6139 × 6157) / 1
LCM(6139,6157) = 37797823 / 1
LCM(6139,6157) = 37797823

Least Common Multiple (LCM) of 6139 and 6157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6139 and 6157. First we will calculate the prime factors of 6139 and 6157.

Prime Factorization of 6139

Prime factors of 6139 are 7, 877. Prime factorization of 6139 in exponential form is:

6139 = 71 × 8771

Prime Factorization of 6157

Prime factors of 6157 are 47, 131. Prime factorization of 6157 in exponential form is:

6157 = 471 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6139 and 6157.

LCM(6139,6157) = 71 × 8771 × 471 × 1311
LCM(6139,6157) = 37797823