What is the Least Common Multiple of 10208 and 10225?

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 10208 and 10225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10208 and 10225, than apply into the LCM equation.

GCF(10208,10225) = 1
LCM(10208,10225) = ( 10208 × 10225) / 1
LCM(10208,10225) = 104376800 / 1
LCM(10208,10225) = 104376800

Least Common Multiple (LCM) of 10208 and 10225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10208 and 10225. First we will calculate the prime factors of 10208 and 10225.

Prime Factorization of 10208

Prime Factorization of 10225

Now multiplying the highest exponent prime factors to calculate the LCM of 10208 and 10225.

LCM(10208,10225) = 2⁵ × 11¹ × 29¹ × 5² × 409¹
LCM(10208,10225) = 104376800