What is the Least Common Multiple of 29172 and 29192?

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 29192 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 29192, than apply into the LCM equation.

GCF(29172,29192) = 4
LCM(29172,29192) = ( 29172 × 29192) / 4
LCM(29172,29192) = 851589024 / 4
LCM(29172,29192) = 212897256

Least Common Multiple (LCM) of 29172 and 29192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29172 and 29192. First we will calculate the prime factors of 29172 and 29192.

Prime Factorization of 29172

Prime Factorization of 29192

Now multiplying the highest exponent prime factors to calculate the LCM of 29172 and 29192.

LCM(29172,29192) = 2³ × 3¹ × 11¹ × 13¹ × 17¹ × 41¹ × 89¹
LCM(29172,29192) = 212897256