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What is the Least Common Multiple of 44317 and 44336?

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 44317 and 44336 is 1964838512.

LCM(44317,44336) = 1964838512

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Least Common Multiple of 44317 and 44336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44317 and 44336, than apply into the LCM equation.

GCF(44317,44336) = 1
LCM(44317,44336) = ( 44317 × 44336) / 1
LCM(44317,44336) = 1964838512 / 1
LCM(44317,44336) = 1964838512

Least Common Multiple (LCM) of 44317 and 44336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44317 and 44336. First we will calculate the prime factors of 44317 and 44336.

Prime Factorization of 44317

Prime factors of 44317 are 7, 13, 487. Prime factorization of 44317 in exponential form is:

44317 = 71 × 131 × 4871

Prime Factorization of 44336

Prime factors of 44336 are 2, 17, 163. Prime factorization of 44336 in exponential form is:

44336 = 24 × 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 44317 and 44336.

LCM(44317,44336) = 71 × 131 × 4871 × 24 × 171 × 1631
LCM(44317,44336) = 1964838512