What is the Least Common Multiple of 33870 and 33874?

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 33870 and 33874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33870 and 33874, than apply into the LCM equation.

GCF(33870,33874) = 2
LCM(33870,33874) = ( 33870 × 33874) / 2
LCM(33870,33874) = 1147312380 / 2
LCM(33870,33874) = 573656190

Least Common Multiple (LCM) of 33870 and 33874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33870 and 33874. First we will calculate the prime factors of 33870 and 33874.

Prime Factorization of 33870

Prime Factorization of 33874

Now multiplying the highest exponent prime factors to calculate the LCM of 33870 and 33874.

LCM(33870,33874) = 2¹ × 3¹ × 5¹ × 1129¹ × 16937¹
LCM(33870,33874) = 573656190