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What is the Least Common Multiple of 11445 and 11451?

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 11445 and 11451 is 43685565.

LCM(11445,11451) = 43685565

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Least Common Multiple of 11445 and 11451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11445 and 11451, than apply into the LCM equation.

GCF(11445,11451) = 3
LCM(11445,11451) = ( 11445 × 11451) / 3
LCM(11445,11451) = 131056695 / 3
LCM(11445,11451) = 43685565

Least Common Multiple (LCM) of 11445 and 11451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11445 and 11451. First we will calculate the prime factors of 11445 and 11451.

Prime Factorization of 11445

Prime factors of 11445 are 3, 5, 7, 109. Prime factorization of 11445 in exponential form is:

11445 = 31 × 51 × 71 × 1091

Prime Factorization of 11451

Prime factors of 11451 are 3, 11, 347. Prime factorization of 11451 in exponential form is:

11451 = 31 × 111 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 11445 and 11451.

LCM(11445,11451) = 31 × 51 × 71 × 1091 × 111 × 3471
LCM(11445,11451) = 43685565