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What is the Least Common Multiple of 27113 and 27120?

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 27113 and 27120 is 735304560.

LCM(27113,27120) = 735304560

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Least Common Multiple of 27113 and 27120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27113 and 27120, than apply into the LCM equation.

GCF(27113,27120) = 1
LCM(27113,27120) = ( 27113 × 27120) / 1
LCM(27113,27120) = 735304560 / 1
LCM(27113,27120) = 735304560

Least Common Multiple (LCM) of 27113 and 27120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27113 and 27120. First we will calculate the prime factors of 27113 and 27120.

Prime Factorization of 27113

Prime factors of 27113 are 19, 1427. Prime factorization of 27113 in exponential form is:

27113 = 191 × 14271

Prime Factorization of 27120

Prime factors of 27120 are 2, 3, 5, 113. Prime factorization of 27120 in exponential form is:

27120 = 24 × 31 × 51 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 27113 and 27120.

LCM(27113,27120) = 191 × 14271 × 24 × 31 × 51 × 1131
LCM(27113,27120) = 735304560