What is the Least Common Multiple of 3285 and 3300?

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 3285 and 3300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3300, than apply into the LCM equation.

GCF(3285,3300) = 15
LCM(3285,3300) = ( 3285 × 3300) / 15
LCM(3285,3300) = 10840500 / 15
LCM(3285,3300) = 722700

Least Common Multiple (LCM) of 3285 and 3300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3300. First we will calculate the prime factors of 3285 and 3300.

Prime Factorization of 3285

Prime Factorization of 3300

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3300.

LCM(3285,3300) = 3² × 5² × 73¹ × 2² × 11¹
LCM(3285,3300) = 722700