What is the Least Common Multiple of 1116 and 1122?

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 1116 and 1122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1116 and 1122, than apply into the LCM equation.

GCF(1116,1122) = 6
LCM(1116,1122) = ( 1116 × 1122) / 6
LCM(1116,1122) = 1252152 / 6
LCM(1116,1122) = 208692

Least Common Multiple (LCM) of 1116 and 1122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1116 and 1122. First we will calculate the prime factors of 1116 and 1122.

Prime Factorization of 1116

Prime Factorization of 1122

Now multiplying the highest exponent prime factors to calculate the LCM of 1116 and 1122.

LCM(1116,1122) = 2² × 3² × 31¹ × 11¹ × 17¹
LCM(1116,1122) = 208692