What is the Least Common Multiple of 32520 and 32535?

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 32520 and 32535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32520 and 32535, than apply into the LCM equation.

GCF(32520,32535) = 15
LCM(32520,32535) = ( 32520 × 32535) / 15
LCM(32520,32535) = 1058038200 / 15
LCM(32520,32535) = 70535880

Least Common Multiple (LCM) of 32520 and 32535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32520 and 32535. First we will calculate the prime factors of 32520 and 32535.

Prime Factorization of 32520

Prime Factorization of 32535

Now multiplying the highest exponent prime factors to calculate the LCM of 32520 and 32535.

LCM(32520,32535) = 2³ × 3³ × 5¹ × 271¹ × 241¹
LCM(32520,32535) = 70535880