What is the Least Common Multiple of 90976 and 90982?

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 90976 and 90982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90976 and 90982, than apply into the LCM equation.

GCF(90976,90982) = 2
LCM(90976,90982) = ( 90976 × 90982) / 2
LCM(90976,90982) = 8277178432 / 2
LCM(90976,90982) = 4138589216

Least Common Multiple (LCM) of 90976 and 90982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90976 and 90982. First we will calculate the prime factors of 90976 and 90982.

Prime Factorization of 90976

Prime Factorization of 90982

Now multiplying the highest exponent prime factors to calculate the LCM of 90976 and 90982.

LCM(90976,90982) = 2⁵ × 2843¹ × 45491¹
LCM(90976,90982) = 4138589216