What is the Least Common Multiple of 29136 and 29151?

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 29136 and 29151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29136 and 29151, than apply into the LCM equation.

GCF(29136,29151) = 3
LCM(29136,29151) = ( 29136 × 29151) / 3
LCM(29136,29151) = 849343536 / 3
LCM(29136,29151) = 283114512

Least Common Multiple (LCM) of 29136 and 29151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29136 and 29151. First we will calculate the prime factors of 29136 and 29151.

Prime Factorization of 29136

Prime Factorization of 29151

Now multiplying the highest exponent prime factors to calculate the LCM of 29136 and 29151.

LCM(29136,29151) = 2⁴ × 3² × 607¹ × 41¹ × 79¹
LCM(29136,29151) = 283114512