What is the Least Common Multiple of 78676 and 78689?

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 78689 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 78689, than apply into the LCM equation.

GCF(78676,78689) = 13
LCM(78676,78689) = ( 78676 × 78689) / 13
LCM(78676,78689) = 6190935764 / 13
LCM(78676,78689) = 476225828

Least Common Multiple (LCM) of 78676 and 78689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78676 and 78689. First we will calculate the prime factors of 78676 and 78689.

Prime Factorization of 78676

Prime Factorization of 78689

Now multiplying the highest exponent prime factors to calculate the LCM of 78676 and 78689.

LCM(78676,78689) = 2² × 13¹ × 17¹ × 89¹ × 6053¹
LCM(78676,78689) = 476225828