What is the Least Common Multiple of 52500 and 52508?

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 52500 and 52508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52500 and 52508, than apply into the LCM equation.

GCF(52500,52508) = 4
LCM(52500,52508) = ( 52500 × 52508) / 4
LCM(52500,52508) = 2756670000 / 4
LCM(52500,52508) = 689167500

Least Common Multiple (LCM) of 52500 and 52508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52500 and 52508. First we will calculate the prime factors of 52500 and 52508.

Prime Factorization of 52500

Prime Factorization of 52508

Now multiplying the highest exponent prime factors to calculate the LCM of 52500 and 52508.

LCM(52500,52508) = 2² × 3¹ × 5⁴ × 7¹ × 13127¹
LCM(52500,52508) = 689167500