What is the Least Common Multiple of 35792 and 35800?

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 35792 and 35800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35792 and 35800, than apply into the LCM equation.

GCF(35792,35800) = 8
LCM(35792,35800) = ( 35792 × 35800) / 8
LCM(35792,35800) = 1281353600 / 8
LCM(35792,35800) = 160169200

Least Common Multiple (LCM) of 35792 and 35800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35792 and 35800. First we will calculate the prime factors of 35792 and 35800.

Prime Factorization of 35792

Prime Factorization of 35800

Now multiplying the highest exponent prime factors to calculate the LCM of 35792 and 35800.

LCM(35792,35800) = 2⁴ × 2237¹ × 5² × 179¹
LCM(35792,35800) = 160169200