What is the Least Common Multiple of 32375 and 32394?

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 32375 and 32394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32375 and 32394, than apply into the LCM equation.

GCF(32375,32394) = 1
LCM(32375,32394) = ( 32375 × 32394) / 1
LCM(32375,32394) = 1048755750 / 1
LCM(32375,32394) = 1048755750

Least Common Multiple (LCM) of 32375 and 32394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32375 and 32394. First we will calculate the prime factors of 32375 and 32394.

Prime Factorization of 32375

Prime Factorization of 32394

Now multiplying the highest exponent prime factors to calculate the LCM of 32375 and 32394.

LCM(32375,32394) = 5³ × 7¹ × 37¹ × 2¹ × 3¹ × 5399¹
LCM(32375,32394) = 1048755750