What is the Least Common Multiple of 33567 and 33585?

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 33567 and 33585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33567 and 33585, than apply into the LCM equation.

GCF(33567,33585) = 3
LCM(33567,33585) = ( 33567 × 33585) / 3
LCM(33567,33585) = 1127347695 / 3
LCM(33567,33585) = 375782565

Least Common Multiple (LCM) of 33567 and 33585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33567 and 33585. First we will calculate the prime factors of 33567 and 33585.

Prime Factorization of 33567

Prime Factorization of 33585

Now multiplying the highest exponent prime factors to calculate the LCM of 33567 and 33585.

LCM(33567,33585) = 3¹ × 67¹ × 167¹ × 5¹ × 2239¹
LCM(33567,33585) = 375782565