What is the Least Common Multiple of 78676 and 78695?

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 78676 and 78695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78676 and 78695, than apply into the LCM equation.

GCF(78676,78695) = 1
LCM(78676,78695) = ( 78676 × 78695) / 1
LCM(78676,78695) = 6191407820 / 1
LCM(78676,78695) = 6191407820

Least Common Multiple (LCM) of 78676 and 78695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78676 and 78695. First we will calculate the prime factors of 78676 and 78695.

Prime Factorization of 78676

Prime Factorization of 78695

Now multiplying the highest exponent prime factors to calculate the LCM of 78676 and 78695.

LCM(78676,78695) = 2² × 13¹ × 17¹ × 89¹ × 5¹ × 15739¹
LCM(78676,78695) = 6191407820