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What is the Least Common Multiple of 10427 and 10445?

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 10427 and 10445 is 108910015.

LCM(10427,10445) = 108910015

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Least Common Multiple of 10427 and 10445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10427 and 10445, than apply into the LCM equation.

GCF(10427,10445) = 1
LCM(10427,10445) = ( 10427 × 10445) / 1
LCM(10427,10445) = 108910015 / 1
LCM(10427,10445) = 108910015

Least Common Multiple (LCM) of 10427 and 10445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10427 and 10445. First we will calculate the prime factors of 10427 and 10445.

Prime Factorization of 10427

Prime factors of 10427 are 10427. Prime factorization of 10427 in exponential form is:

10427 = 104271

Prime Factorization of 10445

Prime factors of 10445 are 5, 2089. Prime factorization of 10445 in exponential form is:

10445 = 51 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 10427 and 10445.

LCM(10427,10445) = 104271 × 51 × 20891
LCM(10427,10445) = 108910015