What is the Least Common Multiple of 79257 and 79269?

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 79257 and 79269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79257 and 79269, than apply into the LCM equation.

GCF(79257,79269) = 3
LCM(79257,79269) = ( 79257 × 79269) / 3
LCM(79257,79269) = 6282623133 / 3
LCM(79257,79269) = 2094207711

Least Common Multiple (LCM) of 79257 and 79269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79257 and 79269. First we will calculate the prime factors of 79257 and 79269.

Prime Factorization of 79257

Prime Factorization of 79269

Now multiplying the highest exponent prime factors to calculate the LCM of 79257 and 79269.

LCM(79257,79269) = 3¹ × 29¹ × 911¹ × 26423¹
LCM(79257,79269) = 2094207711