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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 (LCM) of 1131 and 1146 is 432042.

LCM(1131,1146) = 432042

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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 factors of 1131 are 3, 13, 29. Prime factorization of 1131 in exponential form is:

1131 = 31 × 131 × 291

Prime Factorization of 1146

Prime factors of 1146 are 2, 3, 191. Prime factorization of 1146 in exponential form is:

1146 = 21 × 31 × 1911

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