What is the Least Common Multiple of 79173 and 79189?

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 79173 and 79189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79173 and 79189, than apply into the LCM equation.

GCF(79173,79189) = 1
LCM(79173,79189) = ( 79173 × 79189) / 1
LCM(79173,79189) = 6269630697 / 1
LCM(79173,79189) = 6269630697

Least Common Multiple (LCM) of 79173 and 79189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79173 and 79189. First we will calculate the prime factors of 79173 and 79189.

Prime Factorization of 79173

Prime Factorization of 79189

Now multiplying the highest exponent prime factors to calculate the LCM of 79173 and 79189.

LCM(79173,79189) = 3² × 19¹ × 463¹ × 11¹ × 23¹ × 313¹
LCM(79173,79189) = 6269630697