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What is the Least Common Multiple of 11327 and 11345?

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 11327 and 11345 is 128504815.

LCM(11327,11345) = 128504815

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Least Common Multiple of 11327 and 11345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11327 and 11345, than apply into the LCM equation.

GCF(11327,11345) = 1
LCM(11327,11345) = ( 11327 × 11345) / 1
LCM(11327,11345) = 128504815 / 1
LCM(11327,11345) = 128504815

Least Common Multiple (LCM) of 11327 and 11345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11327 and 11345. First we will calculate the prime factors of 11327 and 11345.

Prime Factorization of 11327

Prime factors of 11327 are 47, 241. Prime factorization of 11327 in exponential form is:

11327 = 471 × 2411

Prime Factorization of 11345

Prime factors of 11345 are 5, 2269. Prime factorization of 11345 in exponential form is:

11345 = 51 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 11327 and 11345.

LCM(11327,11345) = 471 × 2411 × 51 × 22691
LCM(11327,11345) = 128504815