What is the Least Common Multiple of 36132 and 36150?

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 36132 and 36150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36132 and 36150, than apply into the LCM equation.

GCF(36132,36150) = 6
LCM(36132,36150) = ( 36132 × 36150) / 6
LCM(36132,36150) = 1306171800 / 6
LCM(36132,36150) = 217695300

Least Common Multiple (LCM) of 36132 and 36150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36132 and 36150. First we will calculate the prime factors of 36132 and 36150.

Prime Factorization of 36132

Prime Factorization of 36150

Now multiplying the highest exponent prime factors to calculate the LCM of 36132 and 36150.

LCM(36132,36150) = 2² × 3¹ × 3011¹ × 5² × 241¹
LCM(36132,36150) = 217695300