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What is the Least Common Multiple of 27510 and 27524?

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 27510 and 27524 is 54084660.

LCM(27510,27524) = 54084660

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Least Common Multiple of 27510 and 27524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27510 and 27524, than apply into the LCM equation.

GCF(27510,27524) = 14
LCM(27510,27524) = ( 27510 × 27524) / 14
LCM(27510,27524) = 757185240 / 14
LCM(27510,27524) = 54084660

Least Common Multiple (LCM) of 27510 and 27524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27510 and 27524. First we will calculate the prime factors of 27510 and 27524.

Prime Factorization of 27510

Prime factors of 27510 are 2, 3, 5, 7, 131. Prime factorization of 27510 in exponential form is:

27510 = 21 × 31 × 51 × 71 × 1311

Prime Factorization of 27524

Prime factors of 27524 are 2, 7, 983. Prime factorization of 27524 in exponential form is:

27524 = 22 × 71 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 27510 and 27524.

LCM(27510,27524) = 22 × 31 × 51 × 71 × 1311 × 9831
LCM(27510,27524) = 54084660