What is the Least Common Multiple of 11212 and 11228?

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 11212 and 11228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11212 and 11228, than apply into the LCM equation.

GCF(11212,11228) = 4
LCM(11212,11228) = ( 11212 × 11228) / 4
LCM(11212,11228) = 125888336 / 4
LCM(11212,11228) = 31472084

Least Common Multiple (LCM) of 11212 and 11228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11212 and 11228. First we will calculate the prime factors of 11212 and 11228.

Prime Factorization of 11212

Prime Factorization of 11228

Now multiplying the highest exponent prime factors to calculate the LCM of 11212 and 11228.

LCM(11212,11228) = 2² × 2803¹ × 7¹ × 401¹
LCM(11212,11228) = 31472084