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What is the Least Common Multiple of 10428 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 10428 and 10443 is 36299868.

LCM(10428,10443) = 36299868

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Least Common Multiple of 10428 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 10428 and 10443, than apply into the LCM equation.

GCF(10428,10443) = 3
LCM(10428,10443) = ( 10428 × 10443) / 3
LCM(10428,10443) = 108899604 / 3
LCM(10428,10443) = 36299868

Least Common Multiple (LCM) of 10428 and 10443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10428 and 10443. First we will calculate the prime factors of 10428 and 10443.

Prime Factorization of 10428

Prime factors of 10428 are 2, 3, 11, 79. Prime factorization of 10428 in exponential form is:

10428 = 22 × 31 × 111 × 791

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 10428 and 10443.

LCM(10428,10443) = 22 × 31 × 111 × 791 × 592
LCM(10428,10443) = 36299868