What is the Least Common Multiple of 93816 and 93825?

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 93816 and 93825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93816 and 93825, than apply into the LCM equation.

GCF(93816,93825) = 9
LCM(93816,93825) = ( 93816 × 93825) / 9
LCM(93816,93825) = 8802286200 / 9
LCM(93816,93825) = 978031800

Least Common Multiple (LCM) of 93816 and 93825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93816 and 93825. First we will calculate the prime factors of 93816 and 93825.

Prime Factorization of 93816

Prime Factorization of 93825

Now multiplying the highest exponent prime factors to calculate the LCM of 93816 and 93825.

LCM(93816,93825) = 2³ × 3³ × 1303¹ × 5² × 139¹
LCM(93816,93825) = 978031800