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What is the Least Common Multiple of 27374 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 27374 and 27388 is 374859556.

LCM(27374,27388) = 374859556

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Least Common Multiple of 27374 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 27374 and 27388, than apply into the LCM equation.

GCF(27374,27388) = 2
LCM(27374,27388) = ( 27374 × 27388) / 2
LCM(27374,27388) = 749719112 / 2
LCM(27374,27388) = 374859556

Least Common Multiple (LCM) of 27374 and 27388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27374 and 27388. First we will calculate the prime factors of 27374 and 27388.

Prime Factorization of 27374

Prime factors of 27374 are 2, 13687. Prime factorization of 27374 in exponential form is:

27374 = 21 × 136871

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 27374 and 27388.

LCM(27374,27388) = 22 × 136871 × 411 × 1671
LCM(27374,27388) = 374859556