What is the Least Common Multiple of 11144 and 11162?

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 11144 and 11162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11144 and 11162, than apply into the LCM equation.

GCF(11144,11162) = 2
LCM(11144,11162) = ( 11144 × 11162) / 2
LCM(11144,11162) = 124389328 / 2
LCM(11144,11162) = 62194664

Least Common Multiple (LCM) of 11144 and 11162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11144 and 11162. First we will calculate the prime factors of 11144 and 11162.

Prime Factorization of 11144

Prime Factorization of 11162

Now multiplying the highest exponent prime factors to calculate the LCM of 11144 and 11162.

LCM(11144,11162) = 2³ × 7¹ × 199¹ × 5581¹
LCM(11144,11162) = 62194664