What is the Least Common Multiple of 36306 and 36322?

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 36306 and 36322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36306 and 36322, than apply into the LCM equation.

GCF(36306,36322) = 2
LCM(36306,36322) = ( 36306 × 36322) / 2
LCM(36306,36322) = 1318706532 / 2
LCM(36306,36322) = 659353266

Least Common Multiple (LCM) of 36306 and 36322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36306 and 36322. First we will calculate the prime factors of 36306 and 36322.

Prime Factorization of 36306

Prime Factorization of 36322

Now multiplying the highest exponent prime factors to calculate the LCM of 36306 and 36322.

LCM(36306,36322) = 2¹ × 3² × 2017¹ × 11¹ × 13¹ × 127¹
LCM(36306,36322) = 659353266