What is the Least Common Multiple of 79005 and 79023?

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 79005 and 79023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79005 and 79023, than apply into the LCM equation.

GCF(79005,79023) = 3
LCM(79005,79023) = ( 79005 × 79023) / 3
LCM(79005,79023) = 6243212115 / 3
LCM(79005,79023) = 2081070705

Least Common Multiple (LCM) of 79005 and 79023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79005 and 79023. First we will calculate the prime factors of 79005 and 79023.

Prime Factorization of 79005

Prime Factorization of 79023

Now multiplying the highest exponent prime factors to calculate the LCM of 79005 and 79023.

LCM(79005,79023) = 3¹ × 5¹ × 23¹ × 229¹ × 7¹ × 53¹ × 71¹
LCM(79005,79023) = 2081070705