What is the Least Common Multiple of 29175 and 29189?

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 29175 and 29189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29175 and 29189, than apply into the LCM equation.

GCF(29175,29189) = 1
LCM(29175,29189) = ( 29175 × 29189) / 1
LCM(29175,29189) = 851589075 / 1
LCM(29175,29189) = 851589075

Least Common Multiple (LCM) of 29175 and 29189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29175 and 29189. First we will calculate the prime factors of 29175 and 29189.

Prime Factorization of 29175

Prime Factorization of 29189

Now multiplying the highest exponent prime factors to calculate the LCM of 29175 and 29189.

LCM(29175,29189) = 3¹ × 5² × 389¹ × 17² × 101¹
LCM(29175,29189) = 851589075