What is the Least Common Multiple of 34153 and 34172?

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 34153 and 34172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34153 and 34172, than apply into the LCM equation.

GCF(34153,34172) = 1
LCM(34153,34172) = ( 34153 × 34172) / 1
LCM(34153,34172) = 1167076316 / 1
LCM(34153,34172) = 1167076316

Least Common Multiple (LCM) of 34153 and 34172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34153 and 34172. First we will calculate the prime factors of 34153 and 34172.

Prime Factorization of 34153

Prime Factorization of 34172

Now multiplying the highest exponent prime factors to calculate the LCM of 34153 and 34172.

LCM(34153,34172) = 7² × 17¹ × 41¹ × 2² × 8543¹
LCM(34153,34172) = 1167076316