What is the Least Common Multiple of 32307 and 32327?

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 32307 and 32327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32307 and 32327, than apply into the LCM equation.

GCF(32307,32327) = 1
LCM(32307,32327) = ( 32307 × 32327) / 1
LCM(32307,32327) = 1044388389 / 1
LCM(32307,32327) = 1044388389

Least Common Multiple (LCM) of 32307 and 32327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32307 and 32327. First we will calculate the prime factors of 32307 and 32327.

Prime Factorization of 32307

Prime Factorization of 32327

Now multiplying the highest exponent prime factors to calculate the LCM of 32307 and 32327.

LCM(32307,32327) = 3¹ × 11² × 89¹ × 32327¹
LCM(32307,32327) = 1044388389