What is the Least Common Multiple of 1131 and 1146?

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 1131 and 1146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1131 and 1146, than apply into the LCM equation.

GCF(1131,1146) = 3
LCM(1131,1146) = ( 1131 × 1146) / 3
LCM(1131,1146) = 1296126 / 3
LCM(1131,1146) = 432042

Least Common Multiple (LCM) of 1131 and 1146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1146. First we will calculate the prime factors of 1131 and 1146.

Prime Factorization of 1131

Prime Factorization of 1146

Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1146.

LCM(1131,1146) = 3¹ × 13¹ × 29¹ × 2¹ × 191¹
LCM(1131,1146) = 432042