What is the Least Common Multiple of 80948 and 80962?

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 80948 and 80962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80948 and 80962, than apply into the LCM equation.

GCF(80948,80962) = 14
LCM(80948,80962) = ( 80948 × 80962) / 14
LCM(80948,80962) = 6553711976 / 14
LCM(80948,80962) = 468122284

Least Common Multiple (LCM) of 80948 and 80962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80948 and 80962. First we will calculate the prime factors of 80948 and 80962.

Prime Factorization of 80948

Prime Factorization of 80962

Now multiplying the highest exponent prime factors to calculate the LCM of 80948 and 80962.

LCM(80948,80962) = 2² × 7³ × 59¹ × 5783¹
LCM(80948,80962) = 468122284