What is the Least Common Multiple of 78712 and 78726?

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 78712 and 78726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78712 and 78726, than apply into the LCM equation.

GCF(78712,78726) = 2
LCM(78712,78726) = ( 78712 × 78726) / 2
LCM(78712,78726) = 6196680912 / 2
LCM(78712,78726) = 3098340456

Least Common Multiple (LCM) of 78712 and 78726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78712 and 78726. First we will calculate the prime factors of 78712 and 78726.

Prime Factorization of 78712

Prime Factorization of 78726

Now multiplying the highest exponent prime factors to calculate the LCM of 78712 and 78726.

LCM(78712,78726) = 2³ × 9839¹ × 3¹ × 13121¹
LCM(78712,78726) = 3098340456