What is the Least Common Multiple of 32312 and 32326?

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 32326 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 32326, than apply into the LCM equation.

GCF(32312,32326) = 14
LCM(32312,32326) = ( 32312 × 32326) / 14
LCM(32312,32326) = 1044517712 / 14
LCM(32312,32326) = 74608408

Least Common Multiple (LCM) of 32312 and 32326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32312 and 32326. First we will calculate the prime factors of 32312 and 32326.

Prime Factorization of 32312

Prime Factorization of 32326

Now multiplying the highest exponent prime factors to calculate the LCM of 32312 and 32326.

LCM(32312,32326) = 2³ × 7¹ × 577¹ × 2309¹
LCM(32312,32326) = 74608408