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What is the Least Common Multiple of 27381 and 27388?

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 27381 and 27388 is 749910828.

LCM(27381,27388) = 749910828

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Least Common Multiple of 27381 and 27388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27381 and 27388, than apply into the LCM equation.

GCF(27381,27388) = 1
LCM(27381,27388) = ( 27381 × 27388) / 1
LCM(27381,27388) = 749910828 / 1
LCM(27381,27388) = 749910828

Least Common Multiple (LCM) of 27381 and 27388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27381 and 27388. First we will calculate the prime factors of 27381 and 27388.

Prime Factorization of 27381

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

27381 = 31 × 91271

Prime Factorization of 27388

Prime factors of 27388 are 2, 41, 167. Prime factorization of 27388 in exponential form is:

27388 = 22 × 411 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 27381 and 27388.

LCM(27381,27388) = 31 × 91271 × 22 × 411 × 1671
LCM(27381,27388) = 749910828