What is the Least Common Multiple of 29188 and 29206?

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 29188 and 29206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29188 and 29206, than apply into the LCM equation.

GCF(29188,29206) = 2
LCM(29188,29206) = ( 29188 × 29206) / 2
LCM(29188,29206) = 852464728 / 2
LCM(29188,29206) = 426232364

Least Common Multiple (LCM) of 29188 and 29206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29188 and 29206. First we will calculate the prime factors of 29188 and 29206.

Prime Factorization of 29188

Prime Factorization of 29206

Now multiplying the highest exponent prime factors to calculate the LCM of 29188 and 29206.

LCM(29188,29206) = 2² × 7297¹ × 17¹ × 859¹
LCM(29188,29206) = 426232364