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What is the Least Common Multiple of 1147 and 1166?

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 1147 and 1166 is 1337402.

LCM(1147,1166) = 1337402

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Least Common Multiple of 1147 and 1166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1147 and 1166, than apply into the LCM equation.

GCF(1147,1166) = 1
LCM(1147,1166) = ( 1147 × 1166) / 1
LCM(1147,1166) = 1337402 / 1
LCM(1147,1166) = 1337402

Least Common Multiple (LCM) of 1147 and 1166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1147 and 1166. First we will calculate the prime factors of 1147 and 1166.

Prime Factorization of 1147

Prime factors of 1147 are 31, 37. Prime factorization of 1147 in exponential form is:

1147 = 311 × 371

Prime Factorization of 1166

Prime factors of 1166 are 2, 11, 53. Prime factorization of 1166 in exponential form is:

1166 = 21 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1147 and 1166.

LCM(1147,1166) = 311 × 371 × 21 × 111 × 531
LCM(1147,1166) = 1337402