What is the Least Common Multiple of 11172 and 11184?

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 11172 and 11184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11172 and 11184, than apply into the LCM equation.

GCF(11172,11184) = 12
LCM(11172,11184) = ( 11172 × 11184) / 12
LCM(11172,11184) = 124947648 / 12
LCM(11172,11184) = 10412304

Least Common Multiple (LCM) of 11172 and 11184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11172 and 11184. First we will calculate the prime factors of 11172 and 11184.

Prime Factorization of 11172

Prime Factorization of 11184

Now multiplying the highest exponent prime factors to calculate the LCM of 11172 and 11184.

LCM(11172,11184) = 2⁴ × 3¹ × 7² × 19¹ × 233¹
LCM(11172,11184) = 10412304