What is the Least Common Multiple of 29172 and 29187?

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 29172 and 29187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29172 and 29187, than apply into the LCM equation.

GCF(29172,29187) = 3
LCM(29172,29187) = ( 29172 × 29187) / 3
LCM(29172,29187) = 851443164 / 3
LCM(29172,29187) = 283814388

Least Common Multiple (LCM) of 29172 and 29187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29172 and 29187. First we will calculate the prime factors of 29172 and 29187.

Prime Factorization of 29172

Prime Factorization of 29187

Now multiplying the highest exponent prime factors to calculate the LCM of 29172 and 29187.

LCM(29172,29187) = 2² × 3³ × 11¹ × 13¹ × 17¹ × 23¹ × 47¹
LCM(29172,29187) = 283814388