What is the Least Common Multiple of 29151 and 29160?

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 29151 and 29160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29151 and 29160, than apply into the LCM equation.

GCF(29151,29160) = 9
LCM(29151,29160) = ( 29151 × 29160) / 9
LCM(29151,29160) = 850043160 / 9
LCM(29151,29160) = 94449240

Least Common Multiple (LCM) of 29151 and 29160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29151 and 29160. First we will calculate the prime factors of 29151 and 29160.

Prime Factorization of 29151

Prime Factorization of 29160

Now multiplying the highest exponent prime factors to calculate the LCM of 29151 and 29160.

LCM(29151,29160) = 3⁶ × 41¹ × 79¹ × 2³ × 5¹
LCM(29151,29160) = 94449240