What is the Least Common Multiple of 80712 and 80718?

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 80712 and 80718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80712 and 80718, than apply into the LCM equation.

GCF(80712,80718) = 6
LCM(80712,80718) = ( 80712 × 80718) / 6
LCM(80712,80718) = 6514911216 / 6
LCM(80712,80718) = 1085818536

Least Common Multiple (LCM) of 80712 and 80718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80712 and 80718. First we will calculate the prime factors of 80712 and 80718.

Prime Factorization of 80712

Prime Factorization of 80718

Now multiplying the highest exponent prime factors to calculate the LCM of 80712 and 80718.

LCM(80712,80718) = 2³ × 3² × 19¹ × 59¹ × 11¹ × 1223¹
LCM(80712,80718) = 1085818536