What is the Least Common Multiple of 24495 and 24500?

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 24495 and 24500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24495 and 24500, than apply into the LCM equation.

GCF(24495,24500) = 5
LCM(24495,24500) = ( 24495 × 24500) / 5
LCM(24495,24500) = 600127500 / 5
LCM(24495,24500) = 120025500

Least Common Multiple (LCM) of 24495 and 24500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24495 and 24500. First we will calculate the prime factors of 24495 and 24500.

Prime Factorization of 24495

Prime Factorization of 24500

Now multiplying the highest exponent prime factors to calculate the LCM of 24495 and 24500.

LCM(24495,24500) = 3¹ × 5³ × 23¹ × 71¹ × 2² × 7²
LCM(24495,24500) = 120025500