What is the Least Common Multiple of 32314 and 32321?

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 32321 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 32321, than apply into the LCM equation.

GCF(32314,32321) = 1
LCM(32314,32321) = ( 32314 × 32321) / 1
LCM(32314,32321) = 1044420794 / 1
LCM(32314,32321) = 1044420794

Least Common Multiple (LCM) of 32314 and 32321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32314 and 32321. First we will calculate the prime factors of 32314 and 32321.

Prime Factorization of 32314

Prime Factorization of 32321

Now multiplying the highest exponent prime factors to calculate the LCM of 32314 and 32321.

LCM(32314,32321) = 2¹ × 107¹ × 151¹ × 32321¹
LCM(32314,32321) = 1044420794