What is the Least Common Multiple of 33800 and 33808?

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 33808 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 33808, than apply into the LCM equation.

GCF(33800,33808) = 8
LCM(33800,33808) = ( 33800 × 33808) / 8
LCM(33800,33808) = 1142710400 / 8
LCM(33800,33808) = 142838800

Least Common Multiple (LCM) of 33800 and 33808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33800 and 33808. First we will calculate the prime factors of 33800 and 33808.

Prime Factorization of 33800

Prime Factorization of 33808

Now multiplying the highest exponent prime factors to calculate the LCM of 33800 and 33808.

LCM(33800,33808) = 2⁴ × 5² × 13² × 2113¹
LCM(33800,33808) = 142838800