What is the Least Common Multiple of 33850 and 33862?

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 33850 and 33862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33850 and 33862, than apply into the LCM equation.

GCF(33850,33862) = 2
LCM(33850,33862) = ( 33850 × 33862) / 2
LCM(33850,33862) = 1146228700 / 2
LCM(33850,33862) = 573114350

Least Common Multiple (LCM) of 33850 and 33862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33850 and 33862. First we will calculate the prime factors of 33850 and 33862.

Prime Factorization of 33850

Prime Factorization of 33862

Now multiplying the highest exponent prime factors to calculate the LCM of 33850 and 33862.

LCM(33850,33862) = 2¹ × 5² × 677¹ × 16931¹
LCM(33850,33862) = 573114350