What is the Least Common Multiple of 32312 and 32322?

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 32312 and 32322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32312 and 32322, than apply into the LCM equation.

GCF(32312,32322) = 2
LCM(32312,32322) = ( 32312 × 32322) / 2
LCM(32312,32322) = 1044388464 / 2
LCM(32312,32322) = 522194232

Least Common Multiple (LCM) of 32312 and 32322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32312 and 32322. First we will calculate the prime factors of 32312 and 32322.

Prime Factorization of 32312

Prime Factorization of 32322

Now multiplying the highest exponent prime factors to calculate the LCM of 32312 and 32322.

LCM(32312,32322) = 2³ × 7¹ × 577¹ × 3¹ × 5387¹
LCM(32312,32322) = 522194232