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What is the Least Common Multiple of 1156 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 1156 and 1166 is 673948.

LCM(1156,1166) = 673948

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Least Common Multiple of 1156 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 1156 and 1166, than apply into the LCM equation.

GCF(1156,1166) = 2
LCM(1156,1166) = ( 1156 × 1166) / 2
LCM(1156,1166) = 1347896 / 2
LCM(1156,1166) = 673948

Least Common Multiple (LCM) of 1156 and 1166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1166. First we will calculate the prime factors of 1156 and 1166.

Prime Factorization of 1156

Prime factors of 1156 are 2, 17. Prime factorization of 1156 in exponential form is:

1156 = 22 × 172

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 1156 and 1166.

LCM(1156,1166) = 22 × 172 × 111 × 531
LCM(1156,1166) = 673948