What is the Least Common Multiple of 79342 and 79359?

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 79342 and 79359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79342 and 79359, than apply into the LCM equation.

GCF(79342,79359) = 1
LCM(79342,79359) = ( 79342 × 79359) / 1
LCM(79342,79359) = 6296501778 / 1
LCM(79342,79359) = 6296501778

Least Common Multiple (LCM) of 79342 and 79359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79342 and 79359. First we will calculate the prime factors of 79342 and 79359.

Prime Factorization of 79342

Prime Factorization of 79359

Now multiplying the highest exponent prime factors to calculate the LCM of 79342 and 79359.

LCM(79342,79359) = 2¹ × 39671¹ × 3¹ × 7¹ × 3779¹
LCM(79342,79359) = 6296501778