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What is the Least Common Multiple of 10443 and 10450?

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 10443 and 10450 is 109129350.

LCM(10443,10450) = 109129350

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Least Common Multiple of 10443 and 10450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10443 and 10450, than apply into the LCM equation.

GCF(10443,10450) = 1
LCM(10443,10450) = ( 10443 × 10450) / 1
LCM(10443,10450) = 109129350 / 1
LCM(10443,10450) = 109129350

Least Common Multiple (LCM) of 10443 and 10450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10443 and 10450. First we will calculate the prime factors of 10443 and 10450.

Prime Factorization of 10443

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

10443 = 31 × 592

Prime Factorization of 10450

Prime factors of 10450 are 2, 5, 11, 19. Prime factorization of 10450 in exponential form is:

10450 = 21 × 52 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 10443 and 10450.

LCM(10443,10450) = 31 × 592 × 21 × 52 × 111 × 191
LCM(10443,10450) = 109129350