What is the Least Common Multiple of 34274 and 34286?

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 34286 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 34286, than apply into the LCM equation.

GCF(34274,34286) = 2
LCM(34274,34286) = ( 34274 × 34286) / 2
LCM(34274,34286) = 1175118364 / 2
LCM(34274,34286) = 587559182

Least Common Multiple (LCM) of 34274 and 34286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34274 and 34286. First we will calculate the prime factors of 34274 and 34286.

Prime Factorization of 34274

Prime Factorization of 34286

Now multiplying the highest exponent prime factors to calculate the LCM of 34274 and 34286.

LCM(34274,34286) = 2¹ × 17137¹ × 7¹ × 31¹ × 79¹
LCM(34274,34286) = 587559182