What is the Least Common Multiple of 61488 and 61500?

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 61488 and 61500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61488 and 61500, than apply into the LCM equation.

GCF(61488,61500) = 12
LCM(61488,61500) = ( 61488 × 61500) / 12
LCM(61488,61500) = 3781512000 / 12
LCM(61488,61500) = 315126000

Least Common Multiple (LCM) of 61488 and 61500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61488 and 61500. First we will calculate the prime factors of 61488 and 61500.

Prime Factorization of 61488

Prime Factorization of 61500

Now multiplying the highest exponent prime factors to calculate the LCM of 61488 and 61500.

LCM(61488,61500) = 2⁴ × 3² × 7¹ × 61¹ × 5³ × 41¹
LCM(61488,61500) = 315126000