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What is the Least Common Multiple of 27372 and 27387?

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 27372 and 27387 is 249878988.

LCM(27372,27387) = 249878988

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Least Common Multiple of 27372 and 27387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27372 and 27387, than apply into the LCM equation.

GCF(27372,27387) = 3
LCM(27372,27387) = ( 27372 × 27387) / 3
LCM(27372,27387) = 749636964 / 3
LCM(27372,27387) = 249878988

Least Common Multiple (LCM) of 27372 and 27387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27372 and 27387. First we will calculate the prime factors of 27372 and 27387.

Prime Factorization of 27372

Prime factors of 27372 are 2, 3, 2281. Prime factorization of 27372 in exponential form is:

27372 = 22 × 31 × 22811

Prime Factorization of 27387

Prime factors of 27387 are 3, 17, 179. Prime factorization of 27387 in exponential form is:

27387 = 32 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 27372 and 27387.

LCM(27372,27387) = 22 × 32 × 22811 × 171 × 1791
LCM(27372,27387) = 249878988