What is the Least Common Multiple of 33800 and 33812?

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 33800 and 33812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33800 and 33812, than apply into the LCM equation.

GCF(33800,33812) = 4
LCM(33800,33812) = ( 33800 × 33812) / 4
LCM(33800,33812) = 1142845600 / 4
LCM(33800,33812) = 285711400

Least Common Multiple (LCM) of 33800 and 33812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33800 and 33812. First we will calculate the prime factors of 33800 and 33812.

Prime Factorization of 33800

Prime Factorization of 33812

Now multiplying the highest exponent prime factors to calculate the LCM of 33800 and 33812.

LCM(33800,33812) = 2³ × 5² × 13² × 79¹ × 107¹
LCM(33800,33812) = 285711400