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What is the Least Common Multiple of 27509 and 27525?

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 27509 and 27525 is 757185225.

LCM(27509,27525) = 757185225

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Least Common Multiple of 27509 and 27525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27509 and 27525, than apply into the LCM equation.

GCF(27509,27525) = 1
LCM(27509,27525) = ( 27509 × 27525) / 1
LCM(27509,27525) = 757185225 / 1
LCM(27509,27525) = 757185225

Least Common Multiple (LCM) of 27509 and 27525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27509 and 27525. First we will calculate the prime factors of 27509 and 27525.

Prime Factorization of 27509

Prime factors of 27509 are 27509. Prime factorization of 27509 in exponential form is:

27509 = 275091

Prime Factorization of 27525

Prime factors of 27525 are 3, 5, 367. Prime factorization of 27525 in exponential form is:

27525 = 31 × 52 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 27509 and 27525.

LCM(27509,27525) = 275091 × 31 × 52 × 3671
LCM(27509,27525) = 757185225