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What is the Least Common Multiple of 1135 and 1147?

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 1135 and 1147 is 1301845.

LCM(1135,1147) = 1301845

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Least Common Multiple of 1135 and 1147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1135 and 1147, than apply into the LCM equation.

GCF(1135,1147) = 1
LCM(1135,1147) = ( 1135 × 1147) / 1
LCM(1135,1147) = 1301845 / 1
LCM(1135,1147) = 1301845

Least Common Multiple (LCM) of 1135 and 1147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1135 and 1147. First we will calculate the prime factors of 1135 and 1147.

Prime Factorization of 1135

Prime factors of 1135 are 5, 227. Prime factorization of 1135 in exponential form is:

1135 = 51 × 2271

Prime Factorization of 1147

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

1147 = 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1135 and 1147.

LCM(1135,1147) = 51 × 2271 × 311 × 371
LCM(1135,1147) = 1301845