What is the Least Common Multiple of 29198 and 29213?

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 29198 and 29213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29198 and 29213, than apply into the LCM equation.

GCF(29198,29213) = 1
LCM(29198,29213) = ( 29198 × 29213) / 1
LCM(29198,29213) = 852961174 / 1
LCM(29198,29213) = 852961174

Least Common Multiple (LCM) of 29198 and 29213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29198 and 29213. First we will calculate the prime factors of 29198 and 29213.

Prime Factorization of 29198

Prime Factorization of 29213

Now multiplying the highest exponent prime factors to calculate the LCM of 29198 and 29213.

LCM(29198,29213) = 2¹ × 13¹ × 1123¹ × 131¹ × 223¹
LCM(29198,29213) = 852961174