What is the Least Common Multiple of 36816 and 36825?

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 36816 and 36825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36816 and 36825, than apply into the LCM equation.

GCF(36816,36825) = 3
LCM(36816,36825) = ( 36816 × 36825) / 3
LCM(36816,36825) = 1355749200 / 3
LCM(36816,36825) = 451916400

Least Common Multiple (LCM) of 36816 and 36825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36816 and 36825. First we will calculate the prime factors of 36816 and 36825.

Prime Factorization of 36816

Prime Factorization of 36825

Now multiplying the highest exponent prime factors to calculate the LCM of 36816 and 36825.

LCM(36816,36825) = 2⁴ × 3¹ × 13¹ × 59¹ × 5² × 491¹
LCM(36816,36825) = 451916400