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What is the Least Common Multiple of 27264 and 27274?

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 27264 and 27274 is 371799168.

LCM(27264,27274) = 371799168

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Least Common Multiple of 27264 and 27274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27264 and 27274, than apply into the LCM equation.

GCF(27264,27274) = 2
LCM(27264,27274) = ( 27264 × 27274) / 2
LCM(27264,27274) = 743598336 / 2
LCM(27264,27274) = 371799168

Least Common Multiple (LCM) of 27264 and 27274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27264 and 27274. First we will calculate the prime factors of 27264 and 27274.

Prime Factorization of 27264

Prime factors of 27264 are 2, 3, 71. Prime factorization of 27264 in exponential form is:

27264 = 27 × 31 × 711

Prime Factorization of 27274

Prime factors of 27274 are 2, 13, 1049. Prime factorization of 27274 in exponential form is:

27274 = 21 × 131 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 27264 and 27274.

LCM(27264,27274) = 27 × 31 × 711 × 131 × 10491
LCM(27264,27274) = 371799168