What is the Least Common Multiple of 80708 and 80714?

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 80708 and 80714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80708 and 80714, than apply into the LCM equation.

GCF(80708,80714) = 2
LCM(80708,80714) = ( 80708 × 80714) / 2
LCM(80708,80714) = 6514265512 / 2
LCM(80708,80714) = 3257132756

Least Common Multiple (LCM) of 80708 and 80714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80708 and 80714. First we will calculate the prime factors of 80708 and 80714.

Prime Factorization of 80708

Prime Factorization of 80714

Now multiplying the highest exponent prime factors to calculate the LCM of 80708 and 80714.

LCM(80708,80714) = 2² × 20177¹ × 40357¹
LCM(80708,80714) = 3257132756