What is the Least Common Multiple of 48252 and 48256?

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 48252 and 48256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48252 and 48256, than apply into the LCM equation.

GCF(48252,48256) = 4
LCM(48252,48256) = ( 48252 × 48256) / 4
LCM(48252,48256) = 2328448512 / 4
LCM(48252,48256) = 582112128

Least Common Multiple (LCM) of 48252 and 48256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48252 and 48256. First we will calculate the prime factors of 48252 and 48256.

Prime Factorization of 48252

Prime Factorization of 48256

Now multiplying the highest exponent prime factors to calculate the LCM of 48252 and 48256.

LCM(48252,48256) = 2⁷ × 3¹ × 4021¹ × 13¹ × 29¹
LCM(48252,48256) = 582112128