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What is the Least Common Multiple of 27380 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 27380 and 27388 is 187470860.

LCM(27380,27388) = 187470860

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Least Common Multiple of 27380 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 27380 and 27388, than apply into the LCM equation.

GCF(27380,27388) = 4
LCM(27380,27388) = ( 27380 × 27388) / 4
LCM(27380,27388) = 749883440 / 4
LCM(27380,27388) = 187470860

Least Common Multiple (LCM) of 27380 and 27388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27380 and 27388. First we will calculate the prime factors of 27380 and 27388.

Prime Factorization of 27380

Prime factors of 27380 are 2, 5, 37. Prime factorization of 27380 in exponential form is:

27380 = 22 × 51 × 372

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 27380 and 27388.

LCM(27380,27388) = 22 × 51 × 372 × 411 × 1671
LCM(27380,27388) = 187470860