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What is the Least Common Multiple of 27526 and 27532?

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 27526 and 27532 is 378922916.

LCM(27526,27532) = 378922916

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Least Common Multiple of 27526 and 27532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27526 and 27532, than apply into the LCM equation.

GCF(27526,27532) = 2
LCM(27526,27532) = ( 27526 × 27532) / 2
LCM(27526,27532) = 757845832 / 2
LCM(27526,27532) = 378922916

Least Common Multiple (LCM) of 27526 and 27532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27526 and 27532. First we will calculate the prime factors of 27526 and 27532.

Prime Factorization of 27526

Prime factors of 27526 are 2, 13763. Prime factorization of 27526 in exponential form is:

27526 = 21 × 137631

Prime Factorization of 27532

Prime factors of 27532 are 2, 6883. Prime factorization of 27532 in exponential form is:

27532 = 22 × 68831

Now multiplying the highest exponent prime factors to calculate the LCM of 27526 and 27532.

LCM(27526,27532) = 22 × 137631 × 68831
LCM(27526,27532) = 378922916