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What is the Least Common Multiple of 10426 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 10426 and 10443 is 108878718.

LCM(10426,10443) = 108878718

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Least Common Multiple of 10426 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 10426 and 10443, than apply into the LCM equation.

GCF(10426,10443) = 1
LCM(10426,10443) = ( 10426 × 10443) / 1
LCM(10426,10443) = 108878718 / 1
LCM(10426,10443) = 108878718

Least Common Multiple (LCM) of 10426 and 10443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10426 and 10443. First we will calculate the prime factors of 10426 and 10443.

Prime Factorization of 10426

Prime factors of 10426 are 2, 13, 401. Prime factorization of 10426 in exponential form is:

10426 = 21 × 131 × 4011

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 10426 and 10443.

LCM(10426,10443) = 21 × 131 × 4011 × 31 × 592
LCM(10426,10443) = 108878718