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What is the Least Common Multiple of 27377 and 27381?

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 27377 and 27381 is 749609637.

LCM(27377,27381) = 749609637

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Least Common Multiple of 27377 and 27381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27377 and 27381, than apply into the LCM equation.

GCF(27377,27381) = 1
LCM(27377,27381) = ( 27377 × 27381) / 1
LCM(27377,27381) = 749609637 / 1
LCM(27377,27381) = 749609637

Least Common Multiple (LCM) of 27377 and 27381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27377 and 27381. First we will calculate the prime factors of 27377 and 27381.

Prime Factorization of 27377

Prime factors of 27377 are 7, 3911. Prime factorization of 27377 in exponential form is:

27377 = 71 × 39111

Prime Factorization of 27381

Prime factors of 27381 are 3, 9127. Prime factorization of 27381 in exponential form is:

27381 = 31 × 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 27377 and 27381.

LCM(27377,27381) = 71 × 39111 × 31 × 91271
LCM(27377,27381) = 749609637