What is the Least Common Multiple of 34173 and 34177?

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 34173 and 34177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34173 and 34177, than apply into the LCM equation.

GCF(34173,34177) = 1
LCM(34173,34177) = ( 34173 × 34177) / 1
LCM(34173,34177) = 1167930621 / 1
LCM(34173,34177) = 1167930621

Least Common Multiple (LCM) of 34173 and 34177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34173 and 34177. First we will calculate the prime factors of 34173 and 34177.

Prime Factorization of 34173

Prime Factorization of 34177

Now multiplying the highest exponent prime factors to calculate the LCM of 34173 and 34177.

LCM(34173,34177) = 3² × 3797¹ × 11¹ × 13¹ × 239¹
LCM(34173,34177) = 1167930621