What is the Least Common Multiple of 34294 and 34307?

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 34307 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 34307, than apply into the LCM equation.

GCF(34294,34307) = 13
LCM(34294,34307) = ( 34294 × 34307) / 13
LCM(34294,34307) = 1176524258 / 13
LCM(34294,34307) = 90501866

Least Common Multiple (LCM) of 34294 and 34307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34294 and 34307. First we will calculate the prime factors of 34294 and 34307.

Prime Factorization of 34294

Prime Factorization of 34307

Now multiplying the highest exponent prime factors to calculate the LCM of 34294 and 34307.

LCM(34294,34307) = 2¹ × 13² × 1319¹ × 7¹ × 29¹
LCM(34294,34307) = 90501866