What is the Least Common Multiple of 34274 and 34284?

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 34274 and 34284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34274 and 34284, than apply into the LCM equation.

GCF(34274,34284) = 2
LCM(34274,34284) = ( 34274 × 34284) / 2
LCM(34274,34284) = 1175049816 / 2
LCM(34274,34284) = 587524908

Least Common Multiple (LCM) of 34274 and 34284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34274 and 34284. First we will calculate the prime factors of 34274 and 34284.

Prime Factorization of 34274

Prime Factorization of 34284

Now multiplying the highest exponent prime factors to calculate the LCM of 34274 and 34284.

LCM(34274,34284) = 2² × 17137¹ × 3¹ × 2857¹
LCM(34274,34284) = 587524908