What is the Least Common Multiple of 79191 and 79203?

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 79191 and 79203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79191 and 79203, than apply into the LCM equation.

GCF(79191,79203) = 3
LCM(79191,79203) = ( 79191 × 79203) / 3
LCM(79191,79203) = 6272164773 / 3
LCM(79191,79203) = 2090721591

Least Common Multiple (LCM) of 79191 and 79203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79191 and 79203. First we will calculate the prime factors of 79191 and 79203.

Prime Factorization of 79191

Prime Factorization of 79203

Now multiplying the highest exponent prime factors to calculate the LCM of 79191 and 79203.

LCM(79191,79203) = 3³ × 7¹ × 419¹ × 17¹ × 1553¹
LCM(79191,79203) = 2090721591