What is the Least Common Multiple of 32326 and 32339?

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 32326 and 32339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32326 and 32339, than apply into the LCM equation.

GCF(32326,32339) = 1
LCM(32326,32339) = ( 32326 × 32339) / 1
LCM(32326,32339) = 1045390514 / 1
LCM(32326,32339) = 1045390514

Least Common Multiple (LCM) of 32326 and 32339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32326 and 32339. First we will calculate the prime factors of 32326 and 32339.

Prime Factorization of 32326

Prime Factorization of 32339

Now multiplying the highest exponent prime factors to calculate the LCM of 32326 and 32339.

LCM(32326,32339) = 2¹ × 7¹ × 2309¹ × 73¹ × 443¹
LCM(32326,32339) = 1045390514