What is the Least Common Multiple of 79309 and 79323?

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 79309 and 79323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79309 and 79323, than apply into the LCM equation.

GCF(79309,79323) = 1
LCM(79309,79323) = ( 79309 × 79323) / 1
LCM(79309,79323) = 6291027807 / 1
LCM(79309,79323) = 6291027807

Least Common Multiple (LCM) of 79309 and 79323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79309 and 79323. First we will calculate the prime factors of 79309 and 79323.

Prime Factorization of 79309

Prime Factorization of 79323

Now multiplying the highest exponent prime factors to calculate the LCM of 79309 and 79323.

LCM(79309,79323) = 79309¹ × 3¹ × 137¹ × 193¹
LCM(79309,79323) = 6291027807