What is the Least Common Multiple of 34156 and 34174?

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 34156 and 34174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34156 and 34174, than apply into the LCM equation.

GCF(34156,34174) = 2
LCM(34156,34174) = ( 34156 × 34174) / 2
LCM(34156,34174) = 1167247144 / 2
LCM(34156,34174) = 583623572

Least Common Multiple (LCM) of 34156 and 34174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34156 and 34174. First we will calculate the prime factors of 34156 and 34174.

Prime Factorization of 34156

Prime Factorization of 34174

Now multiplying the highest exponent prime factors to calculate the LCM of 34156 and 34174.

LCM(34156,34174) = 2² × 8539¹ × 7¹ × 2441¹
LCM(34156,34174) = 583623572