What is the Least Common Multiple of 89268 and 89286?

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 89268 and 89286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89268 and 89286, than apply into the LCM equation.

GCF(89268,89286) = 6
LCM(89268,89286) = ( 89268 × 89286) / 6
LCM(89268,89286) = 7970382648 / 6
LCM(89268,89286) = 1328397108

Least Common Multiple (LCM) of 89268 and 89286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89268 and 89286. First we will calculate the prime factors of 89268 and 89286.

Prime Factorization of 89268

Prime Factorization of 89286

Now multiplying the highest exponent prime factors to calculate the LCM of 89268 and 89286.

LCM(89268,89286) = 2² × 3¹ × 43¹ × 173¹ × 23¹ × 647¹
LCM(89268,89286) = 1328397108