What is the Least Common Multiple of 32889 and 32895?

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 32889 and 32895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32889 and 32895, than apply into the LCM equation.

GCF(32889,32895) = 3
LCM(32889,32895) = ( 32889 × 32895) / 3
LCM(32889,32895) = 1081883655 / 3
LCM(32889,32895) = 360627885

Least Common Multiple (LCM) of 32889 and 32895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32889 and 32895. First we will calculate the prime factors of 32889 and 32895.

Prime Factorization of 32889

Prime Factorization of 32895

Now multiplying the highest exponent prime factors to calculate the LCM of 32889 and 32895.

LCM(32889,32895) = 3² × 19¹ × 577¹ × 5¹ × 17¹ × 43¹
LCM(32889,32895) = 360627885