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What is the Least Common Multiple of 10439 and 10443?

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 10439 and 10443 is 109014477.

LCM(10439,10443) = 109014477

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Least Common Multiple of 10439 and 10443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10439 and 10443, than apply into the LCM equation.

GCF(10439,10443) = 1
LCM(10439,10443) = ( 10439 × 10443) / 1
LCM(10439,10443) = 109014477 / 1
LCM(10439,10443) = 109014477

Least Common Multiple (LCM) of 10439 and 10443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10439 and 10443. First we will calculate the prime factors of 10439 and 10443.

Prime Factorization of 10439

Prime factors of 10439 are 11, 13, 73. Prime factorization of 10439 in exponential form is:

10439 = 111 × 131 × 731

Prime Factorization of 10443

Prime factors of 10443 are 3, 59. Prime factorization of 10443 in exponential form is:

10443 = 31 × 592

Now multiplying the highest exponent prime factors to calculate the LCM of 10439 and 10443.

LCM(10439,10443) = 111 × 131 × 731 × 31 × 592
LCM(10439,10443) = 109014477