What is the Least Common Multiple of 27500 and 27509?

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 27500 and 27509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27500 and 27509, than apply into the LCM equation.

GCF(27500,27509) = 1
LCM(27500,27509) = ( 27500 × 27509) / 1
LCM(27500,27509) = 756497500 / 1
LCM(27500,27509) = 756497500

Least Common Multiple (LCM) of 27500 and 27509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27500 and 27509. First we will calculate the prime factors of 27500 and 27509.

Prime Factorization of 27500

Prime Factorization of 27509

Now multiplying the highest exponent prime factors to calculate the LCM of 27500 and 27509.

LCM(27500,27509) = 2² × 5⁴ × 11¹ × 27509¹
LCM(27500,27509) = 756497500