What is the Least Common Multiple of 78657 and 78664?

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 78657 and 78664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78657 and 78664, than apply into the LCM equation.

GCF(78657,78664) = 1
LCM(78657,78664) = ( 78657 × 78664) / 1
LCM(78657,78664) = 6187474248 / 1
LCM(78657,78664) = 6187474248

Least Common Multiple (LCM) of 78657 and 78664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78657 and 78664. First we will calculate the prime factors of 78657 and 78664.

Prime Factorization of 78657

Prime Factorization of 78664

Now multiplying the highest exponent prime factors to calculate the LCM of 78657 and 78664.

LCM(78657,78664) = 3¹ × 157¹ × 167¹ × 2³ × 9833¹
LCM(78657,78664) = 6187474248