What is the Least Common Multiple of 48495 and 48500?

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 48495 and 48500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48495 and 48500, than apply into the LCM equation.

GCF(48495,48500) = 5
LCM(48495,48500) = ( 48495 × 48500) / 5
LCM(48495,48500) = 2352007500 / 5
LCM(48495,48500) = 470401500

Least Common Multiple (LCM) of 48495 and 48500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48495 and 48500. First we will calculate the prime factors of 48495 and 48500.

Prime Factorization of 48495

Prime Factorization of 48500

Now multiplying the highest exponent prime factors to calculate the LCM of 48495 and 48500.

LCM(48495,48500) = 3¹ × 5³ × 53¹ × 61¹ × 2² × 97¹
LCM(48495,48500) = 470401500