What is the Least Common Multiple of 86976 and 86989?

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 86976 and 86989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86976 and 86989, than apply into the LCM equation.

GCF(86976,86989) = 1
LCM(86976,86989) = ( 86976 × 86989) / 1
LCM(86976,86989) = 7565955264 / 1
LCM(86976,86989) = 7565955264

Least Common Multiple (LCM) of 86976 and 86989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86976 and 86989. First we will calculate the prime factors of 86976 and 86989.

Prime Factorization of 86976

Prime Factorization of 86989

Now multiplying the highest exponent prime factors to calculate the LCM of 86976 and 86989.

LCM(86976,86989) = 2⁶ × 3² × 151¹ × 7¹ × 17² × 43¹
LCM(86976,86989) = 7565955264