What is the Least Common Multiple of 48984 and 48992?

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 48984 and 48992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48984 and 48992, than apply into the LCM equation.

GCF(48984,48992) = 8
LCM(48984,48992) = ( 48984 × 48992) / 8
LCM(48984,48992) = 2399824128 / 8
LCM(48984,48992) = 299978016

Least Common Multiple (LCM) of 48984 and 48992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48984 and 48992. First we will calculate the prime factors of 48984 and 48992.

Prime Factorization of 48984

Prime Factorization of 48992

Now multiplying the highest exponent prime factors to calculate the LCM of 48984 and 48992.

LCM(48984,48992) = 2⁵ × 3¹ × 13¹ × 157¹ × 1531¹
LCM(48984,48992) = 299978016