What is the Least Common Multiple of 80658 and 80672?

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 80658 and 80672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80658 and 80672, than apply into the LCM equation.

GCF(80658,80672) = 2
LCM(80658,80672) = ( 80658 × 80672) / 2
LCM(80658,80672) = 6506842176 / 2
LCM(80658,80672) = 3253421088

Least Common Multiple (LCM) of 80658 and 80672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80658 and 80672. First we will calculate the prime factors of 80658 and 80672.

Prime Factorization of 80658

Prime Factorization of 80672

Now multiplying the highest exponent prime factors to calculate the LCM of 80658 and 80672.

LCM(80658,80672) = 2⁵ × 3² × 4481¹ × 2521¹
LCM(80658,80672) = 3253421088