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What is the Least Common Multiple of 27277 and 27288?

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 27277 and 27288 is 744334776.

LCM(27277,27288) = 744334776

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Least Common Multiple of 27277 and 27288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27277 and 27288, than apply into the LCM equation.

GCF(27277,27288) = 1
LCM(27277,27288) = ( 27277 × 27288) / 1
LCM(27277,27288) = 744334776 / 1
LCM(27277,27288) = 744334776

Least Common Multiple (LCM) of 27277 and 27288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27277 and 27288. First we will calculate the prime factors of 27277 and 27288.

Prime Factorization of 27277

Prime factors of 27277 are 27277. Prime factorization of 27277 in exponential form is:

27277 = 272771

Prime Factorization of 27288

Prime factors of 27288 are 2, 3, 379. Prime factorization of 27288 in exponential form is:

27288 = 23 × 32 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 27277 and 27288.

LCM(27277,27288) = 272771 × 23 × 32 × 3791
LCM(27277,27288) = 744334776