What is the Least Common Multiple of 48504 and 48512?

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 48504 and 48512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48504 and 48512, than apply into the LCM equation.

GCF(48504,48512) = 8
LCM(48504,48512) = ( 48504 × 48512) / 8
LCM(48504,48512) = 2353026048 / 8
LCM(48504,48512) = 294128256

Least Common Multiple (LCM) of 48504 and 48512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48504 and 48512. First we will calculate the prime factors of 48504 and 48512.

Prime Factorization of 48504

Prime Factorization of 48512

Now multiplying the highest exponent prime factors to calculate the LCM of 48504 and 48512.

LCM(48504,48512) = 2⁷ × 3¹ × 43¹ × 47¹ × 379¹
LCM(48504,48512) = 294128256