What is the Least Common Multiple of 11208 and 11212?

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 11208 and 11212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11208 and 11212, than apply into the LCM equation.

GCF(11208,11212) = 4
LCM(11208,11212) = ( 11208 × 11212) / 4
LCM(11208,11212) = 125664096 / 4
LCM(11208,11212) = 31416024

Least Common Multiple (LCM) of 11208 and 11212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11208 and 11212. First we will calculate the prime factors of 11208 and 11212.

Prime Factorization of 11208

Prime Factorization of 11212

Now multiplying the highest exponent prime factors to calculate the LCM of 11208 and 11212.

LCM(11208,11212) = 2³ × 3¹ × 467¹ × 2803¹
LCM(11208,11212) = 31416024