What is the Least Common Multiple of 10209 and 10226?

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 10209 and 10226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10209 and 10226, than apply into the LCM equation.

GCF(10209,10226) = 1
LCM(10209,10226) = ( 10209 × 10226) / 1
LCM(10209,10226) = 104397234 / 1
LCM(10209,10226) = 104397234

Least Common Multiple (LCM) of 10209 and 10226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10209 and 10226. First we will calculate the prime factors of 10209 and 10226.

Prime Factorization of 10209

Prime Factorization of 10226

Now multiplying the highest exponent prime factors to calculate the LCM of 10209 and 10226.

LCM(10209,10226) = 3¹ × 41¹ × 83¹ × 2¹ × 5113¹
LCM(10209,10226) = 104397234