What is the Least Common Multiple of 36208 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 36208 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 36208 and 36225, than apply into the LCM equation.

GCF(36208,36225) = 1
LCM(36208,36225) = ( 36208 × 36225) / 1
LCM(36208,36225) = 1311634800 / 1
LCM(36208,36225) = 1311634800

Least Common Multiple (LCM) of 36208 and 36225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36208 and 36225. First we will calculate the prime factors of 36208 and 36225.

Prime Factorization of 36208

Prime Factorization of 36225

Now multiplying the highest exponent prime factors to calculate the LCM of 36208 and 36225.

LCM(36208,36225) = 2⁴ × 31¹ × 73¹ × 3² × 5² × 7¹ × 23¹
LCM(36208,36225) = 1311634800