What is the Least Common Multiple of 33856 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 33856 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 33856 and 33870, than apply into the LCM equation.

GCF(33856,33870) = 2
LCM(33856,33870) = ( 33856 × 33870) / 2
LCM(33856,33870) = 1146702720 / 2
LCM(33856,33870) = 573351360

Least Common Multiple (LCM) of 33856 and 33870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33856 and 33870. First we will calculate the prime factors of 33856 and 33870.

Prime Factorization of 33856

Prime Factorization of 33870

Now multiplying the highest exponent prime factors to calculate the LCM of 33856 and 33870.

LCM(33856,33870) = 2⁶ × 23² × 3¹ × 5¹ × 1129¹
LCM(33856,33870) = 573351360