What is the Least Common Multiple of 29152 and 29171?

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 29152 and 29171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29152 and 29171, than apply into the LCM equation.

GCF(29152,29171) = 1
LCM(29152,29171) = ( 29152 × 29171) / 1
LCM(29152,29171) = 850392992 / 1
LCM(29152,29171) = 850392992

Least Common Multiple (LCM) of 29152 and 29171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29152 and 29171. First we will calculate the prime factors of 29152 and 29171.

Prime Factorization of 29152

Prime Factorization of 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 29152 and 29171.

LCM(29152,29171) = 2⁵ × 911¹ × 31¹ × 941¹
LCM(29152,29171) = 850392992