What is the Least Common Multiple of 70976 and 70989?

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 70976 and 70989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70976 and 70989, than apply into the LCM equation.

GCF(70976,70989) = 1
LCM(70976,70989) = ( 70976 × 70989) / 1
LCM(70976,70989) = 5038515264 / 1
LCM(70976,70989) = 5038515264

Least Common Multiple (LCM) of 70976 and 70989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70976 and 70989. First we will calculate the prime factors of 70976 and 70989.

Prime Factorization of 70976

Prime Factorization of 70989

Now multiplying the highest exponent prime factors to calculate the LCM of 70976 and 70989.

LCM(70976,70989) = 2⁶ × 1109¹ × 3¹ × 23663¹
LCM(70976,70989) = 5038515264