What is the Least Common Multiple of 2226 and 2241?

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 2226 and 2241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2226 and 2241, than apply into the LCM equation.

GCF(2226,2241) = 3
LCM(2226,2241) = ( 2226 × 2241) / 3
LCM(2226,2241) = 4988466 / 3
LCM(2226,2241) = 1662822

Least Common Multiple (LCM) of 2226 and 2241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2226 and 2241. First we will calculate the prime factors of 2226 and 2241.

Prime Factorization of 2226

Prime Factorization of 2241

Now multiplying the highest exponent prime factors to calculate the LCM of 2226 and 2241.

LCM(2226,2241) = 2¹ × 3³ × 7¹ × 53¹ × 83¹
LCM(2226,2241) = 1662822