What is the Least Common Multiple of 79023 and 79036?

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 79023 and 79036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79023 and 79036, than apply into the LCM equation.

GCF(79023,79036) = 1
LCM(79023,79036) = ( 79023 × 79036) / 1
LCM(79023,79036) = 6245661828 / 1
LCM(79023,79036) = 6245661828

Least Common Multiple (LCM) of 79023 and 79036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79023 and 79036. First we will calculate the prime factors of 79023 and 79036.

Prime Factorization of 79023

Prime Factorization of 79036

Now multiplying the highest exponent prime factors to calculate the LCM of 79023 and 79036.

LCM(79023,79036) = 3¹ × 7¹ × 53¹ × 71¹ × 2² × 19759¹
LCM(79023,79036) = 6245661828