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What is the Least Common Multiple of 1149 and 1168?

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 1149 and 1168 is 1342032.

LCM(1149,1168) = 1342032

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Least Common Multiple of 1149 and 1168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1149 and 1168, than apply into the LCM equation.

GCF(1149,1168) = 1
LCM(1149,1168) = ( 1149 × 1168) / 1
LCM(1149,1168) = 1342032 / 1
LCM(1149,1168) = 1342032

Least Common Multiple (LCM) of 1149 and 1168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1149 and 1168. First we will calculate the prime factors of 1149 and 1168.

Prime Factorization of 1149

Prime factors of 1149 are 3, 383. Prime factorization of 1149 in exponential form is:

1149 = 31 × 3831

Prime Factorization of 1168

Prime factors of 1168 are 2, 73. Prime factorization of 1168 in exponential form is:

1168 = 24 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 1149 and 1168.

LCM(1149,1168) = 31 × 3831 × 24 × 731
LCM(1149,1168) = 1342032