What is the Least Common Multiple of 34294 and 34299?

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 34294 and 34299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34294 and 34299, than apply into the LCM equation.

GCF(34294,34299) = 1
LCM(34294,34299) = ( 34294 × 34299) / 1
LCM(34294,34299) = 1176249906 / 1
LCM(34294,34299) = 1176249906

Least Common Multiple (LCM) of 34294 and 34299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34294 and 34299. First we will calculate the prime factors of 34294 and 34299.

Prime Factorization of 34294

Prime Factorization of 34299

Now multiplying the highest exponent prime factors to calculate the LCM of 34294 and 34299.

LCM(34294,34299) = 2¹ × 13¹ × 1319¹ × 3² × 37¹ × 103¹
LCM(34294,34299) = 1176249906