What is the Least Common Multiple of 29172 and 29181?

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 29181 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 29181, than apply into the LCM equation.

GCF(29172,29181) = 3
LCM(29172,29181) = ( 29172 × 29181) / 3
LCM(29172,29181) = 851268132 / 3
LCM(29172,29181) = 283756044

Least Common Multiple (LCM) of 29172 and 29181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29172 and 29181. First we will calculate the prime factors of 29172 and 29181.

Prime Factorization of 29172

Prime Factorization of 29181

Now multiplying the highest exponent prime factors to calculate the LCM of 29172 and 29181.

LCM(29172,29181) = 2² × 3¹ × 11¹ × 13¹ × 17¹ × 71¹ × 137¹
LCM(29172,29181) = 283756044