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What is the Least Common Multiple of 27356 and 27376?

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 27356 and 27376 is 187224464.

LCM(27356,27376) = 187224464

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Least Common Multiple of 27356 and 27376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27356 and 27376, than apply into the LCM equation.

GCF(27356,27376) = 4
LCM(27356,27376) = ( 27356 × 27376) / 4
LCM(27356,27376) = 748897856 / 4
LCM(27356,27376) = 187224464

Least Common Multiple (LCM) of 27356 and 27376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27356 and 27376. First we will calculate the prime factors of 27356 and 27376.

Prime Factorization of 27356

Prime factors of 27356 are 2, 7, 977. Prime factorization of 27356 in exponential form is:

27356 = 22 × 71 × 9771

Prime Factorization of 27376

Prime factors of 27376 are 2, 29, 59. Prime factorization of 27376 in exponential form is:

27376 = 24 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27356 and 27376.

LCM(27356,27376) = 24 × 71 × 9771 × 291 × 591
LCM(27356,27376) = 187224464