What is the Least Common Multiple of 80660 and 80678?

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 80660 and 80678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80660 and 80678, than apply into the LCM equation.

GCF(80660,80678) = 2
LCM(80660,80678) = ( 80660 × 80678) / 2
LCM(80660,80678) = 6507487480 / 2
LCM(80660,80678) = 3253743740

Least Common Multiple (LCM) of 80660 and 80678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80660 and 80678. First we will calculate the prime factors of 80660 and 80678.

Prime Factorization of 80660

Prime Factorization of 80678

Now multiplying the highest exponent prime factors to calculate the LCM of 80660 and 80678.

LCM(80660,80678) = 2² × 5¹ × 37¹ × 109¹ × 13¹ × 29¹ × 107¹
LCM(80660,80678) = 3253743740