What is the Least Common Multiple of 29189 and 29198?

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 29189 and 29198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29189 and 29198, than apply into the LCM equation.

GCF(29189,29198) = 1
LCM(29189,29198) = ( 29189 × 29198) / 1
LCM(29189,29198) = 852260422 / 1
LCM(29189,29198) = 852260422

Least Common Multiple (LCM) of 29189 and 29198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29189 and 29198. First we will calculate the prime factors of 29189 and 29198.

Prime Factorization of 29189

Prime Factorization of 29198

Now multiplying the highest exponent prime factors to calculate the LCM of 29189 and 29198.

LCM(29189,29198) = 17² × 101¹ × 2¹ × 13¹ × 1123¹
LCM(29189,29198) = 852260422