What is the Least Common Multiple of 82976 and 82989?

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 82976 and 82989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82976 and 82989, than apply into the LCM equation.

GCF(82976,82989) = 1
LCM(82976,82989) = ( 82976 × 82989) / 1
LCM(82976,82989) = 6886095264 / 1
LCM(82976,82989) = 6886095264

Least Common Multiple (LCM) of 82976 and 82989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82976 and 82989. First we will calculate the prime factors of 82976 and 82989.

Prime Factorization of 82976

Prime Factorization of 82989

Now multiplying the highest exponent prime factors to calculate the LCM of 82976 and 82989.

LCM(82976,82989) = 2⁵ × 2593¹ × 3² × 9221¹
LCM(82976,82989) = 6886095264