What is the Least Common Multiple of 33866 and 33870?

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 33866 and 33870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33866 and 33870, than apply into the LCM equation.

GCF(33866,33870) = 2
LCM(33866,33870) = ( 33866 × 33870) / 2
LCM(33866,33870) = 1147041420 / 2
LCM(33866,33870) = 573520710

Least Common Multiple (LCM) of 33866 and 33870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33866 and 33870. First we will calculate the prime factors of 33866 and 33870.

Prime Factorization of 33866

Prime Factorization of 33870

Now multiplying the highest exponent prime factors to calculate the LCM of 33866 and 33870.

LCM(33866,33870) = 2¹ × 7¹ × 41¹ × 59¹ × 3¹ × 5¹ × 1129¹
LCM(33866,33870) = 573520710