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What is the Least Common Multiple of 5447 and 5459?

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 5447 and 5459 is 29735173.

LCM(5447,5459) = 29735173

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Least Common Multiple of 5447 and 5459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5447 and 5459, than apply into the LCM equation.

GCF(5447,5459) = 1
LCM(5447,5459) = ( 5447 × 5459) / 1
LCM(5447,5459) = 29735173 / 1
LCM(5447,5459) = 29735173

Least Common Multiple (LCM) of 5447 and 5459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5447 and 5459. First we will calculate the prime factors of 5447 and 5459.

Prime Factorization of 5447

Prime factors of 5447 are 13, 419. Prime factorization of 5447 in exponential form is:

5447 = 131 × 4191

Prime Factorization of 5459

Prime factors of 5459 are 53, 103. Prime factorization of 5459 in exponential form is:

5459 = 531 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5447 and 5459.

LCM(5447,5459) = 131 × 4191 × 531 × 1031
LCM(5447,5459) = 29735173