What is the Least Common Multiple of 80612 and 80626?

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 80612 and 80626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80612 and 80626, than apply into the LCM equation.

GCF(80612,80626) = 14
LCM(80612,80626) = ( 80612 × 80626) / 14
LCM(80612,80626) = 6499423112 / 14
LCM(80612,80626) = 464244508

Least Common Multiple (LCM) of 80612 and 80626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80612 and 80626. First we will calculate the prime factors of 80612 and 80626.

Prime Factorization of 80612

Prime Factorization of 80626

Now multiplying the highest exponent prime factors to calculate the LCM of 80612 and 80626.

LCM(80612,80626) = 2² × 7¹ × 2879¹ × 13¹ × 443¹
LCM(80612,80626) = 464244508