What is the Least Common Multiple of 33852 and 33861?

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 33861 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 33861, than apply into the LCM equation.

GCF(33852,33861) = 3
LCM(33852,33861) = ( 33852 × 33861) / 3
LCM(33852,33861) = 1146262572 / 3
LCM(33852,33861) = 382087524

Least Common Multiple (LCM) of 33852 and 33861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33852 and 33861. First we will calculate the prime factors of 33852 and 33861.

Prime Factorization of 33852

Prime Factorization of 33861

Now multiplying the highest exponent prime factors to calculate the LCM of 33852 and 33861.

LCM(33852,33861) = 2² × 3¹ × 7¹ × 13¹ × 31¹ × 11287¹
LCM(33852,33861) = 382087524