What is the Least Common Multiple of 79269 and 79286?

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 79269 and 79286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79269 and 79286, than apply into the LCM equation.

GCF(79269,79286) = 1
LCM(79269,79286) = ( 79269 × 79286) / 1
LCM(79269,79286) = 6284921934 / 1
LCM(79269,79286) = 6284921934

Least Common Multiple (LCM) of 79269 and 79286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79269 and 79286. First we will calculate the prime factors of 79269 and 79286.

Prime Factorization of 79269

Prime Factorization of 79286

Now multiplying the highest exponent prime factors to calculate the LCM of 79269 and 79286.

LCM(79269,79286) = 3¹ × 26423¹ × 2¹ × 29¹ × 1367¹
LCM(79269,79286) = 6284921934