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What is the Least Common Multiple of 27105 and 27125?

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 27105 and 27125 is 147044625.

LCM(27105,27125) = 147044625

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Least Common Multiple of 27105 and 27125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27105 and 27125, than apply into the LCM equation.

GCF(27105,27125) = 5
LCM(27105,27125) = ( 27105 × 27125) / 5
LCM(27105,27125) = 735223125 / 5
LCM(27105,27125) = 147044625

Least Common Multiple (LCM) of 27105 and 27125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27105 and 27125. First we will calculate the prime factors of 27105 and 27125.

Prime Factorization of 27105

Prime factors of 27105 are 3, 5, 13, 139. Prime factorization of 27105 in exponential form is:

27105 = 31 × 51 × 131 × 1391

Prime Factorization of 27125

Prime factors of 27125 are 5, 7, 31. Prime factorization of 27125 in exponential form is:

27125 = 53 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 27105 and 27125.

LCM(27105,27125) = 31 × 53 × 131 × 1391 × 71 × 311
LCM(27105,27125) = 147044625