What is the Least Common Multiple of 36825 and 36840?

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 36825 and 36840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36825 and 36840, than apply into the LCM equation.

GCF(36825,36840) = 15
LCM(36825,36840) = ( 36825 × 36840) / 15
LCM(36825,36840) = 1356633000 / 15
LCM(36825,36840) = 90442200

Least Common Multiple (LCM) of 36825 and 36840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36825 and 36840. First we will calculate the prime factors of 36825 and 36840.

Prime Factorization of 36825

Prime Factorization of 36840

Now multiplying the highest exponent prime factors to calculate the LCM of 36825 and 36840.

LCM(36825,36840) = 3¹ × 5² × 491¹ × 2³ × 307¹
LCM(36825,36840) = 90442200