What is the Least Common Multiple of 32925 and 32940?

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 32925 and 32940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32925 and 32940, than apply into the LCM equation.

GCF(32925,32940) = 15
LCM(32925,32940) = ( 32925 × 32940) / 15
LCM(32925,32940) = 1084549500 / 15
LCM(32925,32940) = 72303300

Least Common Multiple (LCM) of 32925 and 32940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32925 and 32940. First we will calculate the prime factors of 32925 and 32940.

Prime Factorization of 32925

Prime Factorization of 32940

Now multiplying the highest exponent prime factors to calculate the LCM of 32925 and 32940.

LCM(32925,32940) = 3³ × 5² × 439¹ × 2² × 61¹
LCM(32925,32940) = 72303300