What is the Least Common Multiple of 36216 and 36225?

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 36216 and 36225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36216 and 36225, than apply into the LCM equation.

GCF(36216,36225) = 9
LCM(36216,36225) = ( 36216 × 36225) / 9
LCM(36216,36225) = 1311924600 / 9
LCM(36216,36225) = 145769400

Least Common Multiple (LCM) of 36216 and 36225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36216 and 36225. First we will calculate the prime factors of 36216 and 36225.

Prime Factorization of 36216

Prime Factorization of 36225

Now multiplying the highest exponent prime factors to calculate the LCM of 36216 and 36225.

LCM(36216,36225) = 2³ × 3² × 503¹ × 5² × 7¹ × 23¹
LCM(36216,36225) = 145769400