What is the Least Common Multiple of 48495 and 48504?

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 48504 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 48504, than apply into the LCM equation.

GCF(48495,48504) = 3
LCM(48495,48504) = ( 48495 × 48504) / 3
LCM(48495,48504) = 2352201480 / 3
LCM(48495,48504) = 784067160

Least Common Multiple (LCM) of 48495 and 48504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48495 and 48504. First we will calculate the prime factors of 48495 and 48504.

Prime Factorization of 48495

Prime Factorization of 48504

Now multiplying the highest exponent prime factors to calculate the LCM of 48495 and 48504.

LCM(48495,48504) = 3¹ × 5¹ × 53¹ × 61¹ × 2³ × 43¹ × 47¹
LCM(48495,48504) = 784067160