What is the Least Common Multiple of 32645 and 32660?

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 32645 and 32660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32645 and 32660, than apply into the LCM equation.

GCF(32645,32660) = 5
LCM(32645,32660) = ( 32645 × 32660) / 5
LCM(32645,32660) = 1066185700 / 5
LCM(32645,32660) = 213237140

Least Common Multiple (LCM) of 32645 and 32660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32645 and 32660. First we will calculate the prime factors of 32645 and 32660.

Prime Factorization of 32645

Prime Factorization of 32660

Now multiplying the highest exponent prime factors to calculate the LCM of 32645 and 32660.

LCM(32645,32660) = 5¹ × 6529¹ × 2² × 23¹ × 71¹
LCM(32645,32660) = 213237140