What is the Least Common Multiple of 48252 and 48257?

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 48257 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 48257, than apply into the LCM equation.

GCF(48252,48257) = 1
LCM(48252,48257) = ( 48252 × 48257) / 1
LCM(48252,48257) = 2328496764 / 1
LCM(48252,48257) = 2328496764

Least Common Multiple (LCM) of 48252 and 48257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48252 and 48257. First we will calculate the prime factors of 48252 and 48257.

Prime Factorization of 48252

Prime Factorization of 48257

Now multiplying the highest exponent prime factors to calculate the LCM of 48252 and 48257.

LCM(48252,48257) = 2² × 3¹ × 4021¹ × 11¹ × 41¹ × 107¹
LCM(48252,48257) = 2328496764