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What is the Least Common Multiple of 27124 and 27137?

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 27124 and 27137 is 736063988.

LCM(27124,27137) = 736063988

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Least Common Multiple of 27124 and 27137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27124 and 27137, than apply into the LCM equation.

GCF(27124,27137) = 1
LCM(27124,27137) = ( 27124 × 27137) / 1
LCM(27124,27137) = 736063988 / 1
LCM(27124,27137) = 736063988

Least Common Multiple (LCM) of 27124 and 27137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27124 and 27137. First we will calculate the prime factors of 27124 and 27137.

Prime Factorization of 27124

Prime factors of 27124 are 2, 6781. Prime factorization of 27124 in exponential form is:

27124 = 22 × 67811

Prime Factorization of 27137

Prime factors of 27137 are 11, 2467. Prime factorization of 27137 in exponential form is:

27137 = 111 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 27124 and 27137.

LCM(27124,27137) = 22 × 67811 × 111 × 24671
LCM(27124,27137) = 736063988