What is the Least Common Multiple of 33837 and 33852?

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 33837 and 33852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33837 and 33852, than apply into the LCM equation.

GCF(33837,33852) = 3
LCM(33837,33852) = ( 33837 × 33852) / 3
LCM(33837,33852) = 1145450124 / 3
LCM(33837,33852) = 381816708

Least Common Multiple (LCM) of 33837 and 33852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33837 and 33852. First we will calculate the prime factors of 33837 and 33852.

Prime Factorization of 33837

Prime Factorization of 33852

Now multiplying the highest exponent prime factors to calculate the LCM of 33837 and 33852.

LCM(33837,33852) = 3¹ × 11279¹ × 2² × 7¹ × 13¹ × 31¹
LCM(33837,33852) = 381816708