What is the Least Common Multiple of 80672 and 80684?

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 80672 and 80684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80672 and 80684, than apply into the LCM equation.

GCF(80672,80684) = 4
LCM(80672,80684) = ( 80672 × 80684) / 4
LCM(80672,80684) = 6508939648 / 4
LCM(80672,80684) = 1627234912

Least Common Multiple (LCM) of 80672 and 80684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80672 and 80684. First we will calculate the prime factors of 80672 and 80684.

Prime Factorization of 80672

Prime Factorization of 80684

Now multiplying the highest exponent prime factors to calculate the LCM of 80672 and 80684.

LCM(80672,80684) = 2⁵ × 2521¹ × 23¹ × 877¹
LCM(80672,80684) = 1627234912