What is the Least Common Multiple of 36132 and 36149?

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 36149 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 36149, than apply into the LCM equation.

GCF(36132,36149) = 1
LCM(36132,36149) = ( 36132 × 36149) / 1
LCM(36132,36149) = 1306135668 / 1
LCM(36132,36149) = 1306135668

Least Common Multiple (LCM) of 36132 and 36149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36132 and 36149. First we will calculate the prime factors of 36132 and 36149.

Prime Factorization of 36132

Prime Factorization of 36149

Now multiplying the highest exponent prime factors to calculate the LCM of 36132 and 36149.

LCM(36132,36149) = 2² × 3¹ × 3011¹ × 37¹ × 977¹
LCM(36132,36149) = 1306135668