What is the Least Common Multiple of 29496 and 29511?

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 29496 and 29511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29496 and 29511, than apply into the LCM equation.

GCF(29496,29511) = 3
LCM(29496,29511) = ( 29496 × 29511) / 3
LCM(29496,29511) = 870456456 / 3
LCM(29496,29511) = 290152152

Least Common Multiple (LCM) of 29496 and 29511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29496 and 29511. First we will calculate the prime factors of 29496 and 29511.

Prime Factorization of 29496

Prime Factorization of 29511

Now multiplying the highest exponent prime factors to calculate the LCM of 29496 and 29511.

LCM(29496,29511) = 2³ × 3³ × 1229¹ × 1093¹
LCM(29496,29511) = 290152152