What is the Least Common Multiple of 27509 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 of 27509 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 27509 and 27524, than apply into the LCM equation.

GCF(27509,27524) = 1
LCM(27509,27524) = ( 27509 × 27524) / 1
LCM(27509,27524) = 757157716 / 1
LCM(27509,27524) = 757157716

Least Common Multiple (LCM) of 27509 and 27524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27509 and 27524. First we will calculate the prime factors of 27509 and 27524.

Prime Factorization of 27509

Prime Factorization of 27524

Now multiplying the highest exponent prime factors to calculate the LCM of 27509 and 27524.

LCM(27509,27524) = 27509¹ × 2² × 7¹ × 983¹
LCM(27509,27524) = 757157716