What is the Least Common Multiple of 11148 and 11166?

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 11148 and 11166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11148 and 11166, than apply into the LCM equation.

GCF(11148,11166) = 6
LCM(11148,11166) = ( 11148 × 11166) / 6
LCM(11148,11166) = 124478568 / 6
LCM(11148,11166) = 20746428

Least Common Multiple (LCM) of 11148 and 11166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11148 and 11166. First we will calculate the prime factors of 11148 and 11166.

Prime Factorization of 11148

Prime Factorization of 11166

Now multiplying the highest exponent prime factors to calculate the LCM of 11148 and 11166.

LCM(11148,11166) = 2² × 3¹ × 929¹ × 1861¹
LCM(11148,11166) = 20746428