What is the Least Common Multiple of 11189 and 11208?

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 11189 and 11208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11189 and 11208, than apply into the LCM equation.

GCF(11189,11208) = 1
LCM(11189,11208) = ( 11189 × 11208) / 1
LCM(11189,11208) = 125406312 / 1
LCM(11189,11208) = 125406312

Least Common Multiple (LCM) of 11189 and 11208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11189 and 11208. First we will calculate the prime factors of 11189 and 11208.

Prime Factorization of 11189

Prime Factorization of 11208

Now multiplying the highest exponent prime factors to calculate the LCM of 11189 and 11208.

LCM(11189,11208) = 67¹ × 167¹ × 2³ × 3¹ × 467¹
LCM(11189,11208) = 125406312