What is the Least Common Multiple of 32314 and 32328?

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 32314 and 32328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32314 and 32328, than apply into the LCM equation.

GCF(32314,32328) = 2
LCM(32314,32328) = ( 32314 × 32328) / 2
LCM(32314,32328) = 1044646992 / 2
LCM(32314,32328) = 522323496

Least Common Multiple (LCM) of 32314 and 32328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32314 and 32328. First we will calculate the prime factors of 32314 and 32328.

Prime Factorization of 32314

Prime Factorization of 32328

Now multiplying the highest exponent prime factors to calculate the LCM of 32314 and 32328.

LCM(32314,32328) = 2³ × 107¹ × 151¹ × 3² × 449¹
LCM(32314,32328) = 522323496