What is the Least Common Multiple of 36222 and 36240?

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 36222 and 36240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36222 and 36240, than apply into the LCM equation.

GCF(36222,36240) = 6
LCM(36222,36240) = ( 36222 × 36240) / 6
LCM(36222,36240) = 1312685280 / 6
LCM(36222,36240) = 218780880

Least Common Multiple (LCM) of 36222 and 36240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36222 and 36240. First we will calculate the prime factors of 36222 and 36240.

Prime Factorization of 36222

Prime Factorization of 36240

Now multiplying the highest exponent prime factors to calculate the LCM of 36222 and 36240.

LCM(36222,36240) = 2⁴ × 3¹ × 6037¹ × 5¹ × 151¹
LCM(36222,36240) = 218780880