What is the Least Common Multiple of 22816 and 22825?

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 22816 and 22825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22816 and 22825, than apply into the LCM equation.

GCF(22816,22825) = 1
LCM(22816,22825) = ( 22816 × 22825) / 1
LCM(22816,22825) = 520775200 / 1
LCM(22816,22825) = 520775200

Least Common Multiple (LCM) of 22816 and 22825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22816 and 22825. First we will calculate the prime factors of 22816 and 22825.

Prime Factorization of 22816

Prime Factorization of 22825

Now multiplying the highest exponent prime factors to calculate the LCM of 22816 and 22825.

LCM(22816,22825) = 2⁵ × 23¹ × 31¹ × 5² × 11¹ × 83¹
LCM(22816,22825) = 520775200