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What is the Least Common Multiple of 1173 and 1186?

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 1173 and 1186 is 1391178.

LCM(1173,1186) = 1391178

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Least Common Multiple of 1173 and 1186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1173 and 1186, than apply into the LCM equation.

GCF(1173,1186) = 1
LCM(1173,1186) = ( 1173 × 1186) / 1
LCM(1173,1186) = 1391178 / 1
LCM(1173,1186) = 1391178

Least Common Multiple (LCM) of 1173 and 1186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1173 and 1186. First we will calculate the prime factors of 1173 and 1186.

Prime Factorization of 1173

Prime factors of 1173 are 3, 17, 23. Prime factorization of 1173 in exponential form is:

1173 = 31 × 171 × 231

Prime Factorization of 1186

Prime factors of 1186 are 2, 593. Prime factorization of 1186 in exponential form is:

1186 = 21 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 1173 and 1186.

LCM(1173,1186) = 31 × 171 × 231 × 21 × 5931
LCM(1173,1186) = 1391178