What is the Least Common Multiple of 11184 and 11198?

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 11184 and 11198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11184 and 11198, than apply into the LCM equation.

GCF(11184,11198) = 2
LCM(11184,11198) = ( 11184 × 11198) / 2
LCM(11184,11198) = 125238432 / 2
LCM(11184,11198) = 62619216

Least Common Multiple (LCM) of 11184 and 11198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11184 and 11198. First we will calculate the prime factors of 11184 and 11198.

Prime Factorization of 11184

Prime Factorization of 11198

Now multiplying the highest exponent prime factors to calculate the LCM of 11184 and 11198.

LCM(11184,11198) = 2⁴ × 3¹ × 233¹ × 11¹ × 509¹
LCM(11184,11198) = 62619216