What is the Least Common Multiple of 34312 and 34322?

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 34312 and 34322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34312 and 34322, than apply into the LCM equation.

GCF(34312,34322) = 2
LCM(34312,34322) = ( 34312 × 34322) / 2
LCM(34312,34322) = 1177656464 / 2
LCM(34312,34322) = 588828232

Least Common Multiple (LCM) of 34312 and 34322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34312 and 34322. First we will calculate the prime factors of 34312 and 34322.

Prime Factorization of 34312

Prime Factorization of 34322

Now multiplying the highest exponent prime factors to calculate the LCM of 34312 and 34322.

LCM(34312,34322) = 2³ × 4289¹ × 131²
LCM(34312,34322) = 588828232