What is the Least Common Multiple of 18816 and 18825?

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 18816 and 18825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18816 and 18825, than apply into the LCM equation.

GCF(18816,18825) = 3
LCM(18816,18825) = ( 18816 × 18825) / 3
LCM(18816,18825) = 354211200 / 3
LCM(18816,18825) = 118070400

Least Common Multiple (LCM) of 18816 and 18825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18816 and 18825. First we will calculate the prime factors of 18816 and 18825.

Prime Factorization of 18816

Prime Factorization of 18825

Now multiplying the highest exponent prime factors to calculate the LCM of 18816 and 18825.

LCM(18816,18825) = 2⁷ × 3¹ × 7² × 5² × 251¹
LCM(18816,18825) = 118070400