What is the Least Common Multiple of 32535 and 32540?

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 32535 and 32540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32535 and 32540, than apply into the LCM equation.

GCF(32535,32540) = 5
LCM(32535,32540) = ( 32535 × 32540) / 5
LCM(32535,32540) = 1058688900 / 5
LCM(32535,32540) = 211737780

Least Common Multiple (LCM) of 32535 and 32540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32535 and 32540. First we will calculate the prime factors of 32535 and 32540.

Prime Factorization of 32535

Prime Factorization of 32540

Now multiplying the highest exponent prime factors to calculate the LCM of 32535 and 32540.

LCM(32535,32540) = 3³ × 5¹ × 241¹ × 2² × 1627¹
LCM(32535,32540) = 211737780