What is the Least Common Multiple of 35800 and 35808?

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 35800 and 35808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35800 and 35808, than apply into the LCM equation.

GCF(35800,35808) = 8
LCM(35800,35808) = ( 35800 × 35808) / 8
LCM(35800,35808) = 1281926400 / 8
LCM(35800,35808) = 160240800

Least Common Multiple (LCM) of 35800 and 35808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35800 and 35808. First we will calculate the prime factors of 35800 and 35808.

Prime Factorization of 35800

Prime Factorization of 35808

Now multiplying the highest exponent prime factors to calculate the LCM of 35800 and 35808.

LCM(35800,35808) = 2⁵ × 5² × 179¹ × 3¹ × 373¹
LCM(35800,35808) = 160240800