What is the Least Common Multiple of 36225 and 36234?

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 36225 and 36234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36225 and 36234, than apply into the LCM equation.

GCF(36225,36234) = 9
LCM(36225,36234) = ( 36225 × 36234) / 9
LCM(36225,36234) = 1312576650 / 9
LCM(36225,36234) = 145841850

Least Common Multiple (LCM) of 36225 and 36234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36225 and 36234. First we will calculate the prime factors of 36225 and 36234.

Prime Factorization of 36225

Prime Factorization of 36234

Now multiplying the highest exponent prime factors to calculate the LCM of 36225 and 36234.

LCM(36225,36234) = 3³ × 5² × 7¹ × 23¹ × 2¹ × 11¹ × 61¹
LCM(36225,36234) = 145841850