What is the Least Common Multiple of 11216 and 11226?

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 11216 and 11226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11216 and 11226, than apply into the LCM equation.

GCF(11216,11226) = 2
LCM(11216,11226) = ( 11216 × 11226) / 2
LCM(11216,11226) = 125910816 / 2
LCM(11216,11226) = 62955408

Least Common Multiple (LCM) of 11216 and 11226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11216 and 11226. First we will calculate the prime factors of 11216 and 11226.

Prime Factorization of 11216

Prime Factorization of 11226

Now multiplying the highest exponent prime factors to calculate the LCM of 11216 and 11226.

LCM(11216,11226) = 2⁴ × 701¹ × 3¹ × 1871¹
LCM(11216,11226) = 62955408