What is the Least Common Multiple of 33585 and 33595?

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 33585 and 33595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33585 and 33595, than apply into the LCM equation.

GCF(33585,33595) = 5
LCM(33585,33595) = ( 33585 × 33595) / 5
LCM(33585,33595) = 1128288075 / 5
LCM(33585,33595) = 225657615

Least Common Multiple (LCM) of 33585 and 33595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33585 and 33595. First we will calculate the prime factors of 33585 and 33595.

Prime Factorization of 33585

Prime Factorization of 33595

Now multiplying the highest exponent prime factors to calculate the LCM of 33585 and 33595.

LCM(33585,33595) = 3¹ × 5¹ × 2239¹ × 6719¹
LCM(33585,33595) = 225657615