What is the Least Common Multiple of 93270 and 93286?

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 93270 and 93286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93270 and 93286, than apply into the LCM equation.

GCF(93270,93286) = 2
LCM(93270,93286) = ( 93270 × 93286) / 2
LCM(93270,93286) = 8700785220 / 2
LCM(93270,93286) = 4350392610

Least Common Multiple (LCM) of 93270 and 93286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93270 and 93286. First we will calculate the prime factors of 93270 and 93286.

Prime Factorization of 93270

Prime Factorization of 93286

Now multiplying the highest exponent prime factors to calculate the LCM of 93270 and 93286.

LCM(93270,93286) = 2¹ × 3¹ × 5¹ × 3109¹ × 46643¹
LCM(93270,93286) = 4350392610