What is the Least Common Multiple of 33852 and 33857?

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 33852 and 33857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33852 and 33857, than apply into the LCM equation.

GCF(33852,33857) = 1
LCM(33852,33857) = ( 33852 × 33857) / 1
LCM(33852,33857) = 1146127164 / 1
LCM(33852,33857) = 1146127164

Least Common Multiple (LCM) of 33852 and 33857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33852 and 33857. First we will calculate the prime factors of 33852 and 33857.

Prime Factorization of 33852

Prime Factorization of 33857

Now multiplying the highest exponent prime factors to calculate the LCM of 33852 and 33857.

LCM(33852,33857) = 2² × 3¹ × 7¹ × 13¹ × 31¹ × 33857¹
LCM(33852,33857) = 1146127164