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What is the Least Common Multiple of 1146 and 1163?

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 1146 and 1163 is 1332798.

LCM(1146,1163) = 1332798

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Least Common Multiple of 1146 and 1163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1146 and 1163, than apply into the LCM equation.

GCF(1146,1163) = 1
LCM(1146,1163) = ( 1146 × 1163) / 1
LCM(1146,1163) = 1332798 / 1
LCM(1146,1163) = 1332798

Least Common Multiple (LCM) of 1146 and 1163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1146 and 1163. First we will calculate the prime factors of 1146 and 1163.

Prime Factorization of 1146

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

1146 = 21 × 31 × 1911

Prime Factorization of 1163

Prime factors of 1163 are 1163. Prime factorization of 1163 in exponential form is:

1163 = 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 1146 and 1163.

LCM(1146,1163) = 21 × 31 × 1911 × 11631
LCM(1146,1163) = 1332798