What is the Least Common Multiple of 79044 and 79063?

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 79044 and 79063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79044 and 79063, than apply into the LCM equation.

GCF(79044,79063) = 1
LCM(79044,79063) = ( 79044 × 79063) / 1
LCM(79044,79063) = 6249455772 / 1
LCM(79044,79063) = 6249455772

Least Common Multiple (LCM) of 79044 and 79063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79044 and 79063. First we will calculate the prime factors of 79044 and 79063.

Prime Factorization of 79044

Prime Factorization of 79063

Now multiplying the highest exponent prime factors to calculate the LCM of 79044 and 79063.

LCM(79044,79063) = 2² × 3¹ × 7¹ × 941¹ × 79063¹
LCM(79044,79063) = 6249455772