What is the Least Common Multiple of 79731 and 79748?

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 79731 and 79748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79731 and 79748, than apply into the LCM equation.

GCF(79731,79748) = 1
LCM(79731,79748) = ( 79731 × 79748) / 1
LCM(79731,79748) = 6358387788 / 1
LCM(79731,79748) = 6358387788

Least Common Multiple (LCM) of 79731 and 79748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79731 and 79748. First we will calculate the prime factors of 79731 and 79748.

Prime Factorization of 79731

Prime Factorization of 79748

Now multiplying the highest exponent prime factors to calculate the LCM of 79731 and 79748.

LCM(79731,79748) = 3³ × 2953¹ × 2² × 19937¹
LCM(79731,79748) = 6358387788