What is the Least Common Multiple of 11616 and 11625?

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 11616 and 11625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11616 and 11625, than apply into the LCM equation.

GCF(11616,11625) = 3
LCM(11616,11625) = ( 11616 × 11625) / 3
LCM(11616,11625) = 135036000 / 3
LCM(11616,11625) = 45012000

Least Common Multiple (LCM) of 11616 and 11625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11616 and 11625. First we will calculate the prime factors of 11616 and 11625.

Prime Factorization of 11616

Prime Factorization of 11625

Now multiplying the highest exponent prime factors to calculate the LCM of 11616 and 11625.

LCM(11616,11625) = 2⁵ × 3¹ × 11² × 5³ × 31¹
LCM(11616,11625) = 45012000