What is the Least Common Multiple of 32310 and 32314?

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 32310 and 32314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32310 and 32314, than apply into the LCM equation.

GCF(32310,32314) = 2
LCM(32310,32314) = ( 32310 × 32314) / 2
LCM(32310,32314) = 1044065340 / 2
LCM(32310,32314) = 522032670

Least Common Multiple (LCM) of 32310 and 32314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32310 and 32314. First we will calculate the prime factors of 32310 and 32314.

Prime Factorization of 32310

Prime Factorization of 32314

Now multiplying the highest exponent prime factors to calculate the LCM of 32310 and 32314.

LCM(32310,32314) = 2¹ × 3² × 5¹ × 359¹ × 107¹ × 151¹
LCM(32310,32314) = 522032670