What is the Least Common Multiple of 33800 and 33811?

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 33811 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 33811, than apply into the LCM equation.

GCF(33800,33811) = 1
LCM(33800,33811) = ( 33800 × 33811) / 1
LCM(33800,33811) = 1142811800 / 1
LCM(33800,33811) = 1142811800

Least Common Multiple (LCM) of 33800 and 33811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33800 and 33811. First we will calculate the prime factors of 33800 and 33811.

Prime Factorization of 33800

Prime Factorization of 33811

Now multiplying the highest exponent prime factors to calculate the LCM of 33800 and 33811.

LCM(33800,33811) = 2³ × 5² × 13² × 33811¹
LCM(33800,33811) = 1142811800