What is the Least Common Multiple of 78717 and 78732?

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 78717 and 78732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78717 and 78732, than apply into the LCM equation.

GCF(78717,78732) = 3
LCM(78717,78732) = ( 78717 × 78732) / 3
LCM(78717,78732) = 6197546844 / 3
LCM(78717,78732) = 2065848948

Least Common Multiple (LCM) of 78717 and 78732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78717 and 78732. First we will calculate the prime factors of 78717 and 78732.

Prime Factorization of 78717

Prime Factorization of 78732

Now multiplying the highest exponent prime factors to calculate the LCM of 78717 and 78732.

LCM(78717,78732) = 3⁹ × 19¹ × 1381¹ × 2²
LCM(78717,78732) = 2065848948