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What is the Least Common Multiple of 10445 and 10458?

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 10445 and 10458 is 109233810.

LCM(10445,10458) = 109233810

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Least Common Multiple of 10445 and 10458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10445 and 10458, than apply into the LCM equation.

GCF(10445,10458) = 1
LCM(10445,10458) = ( 10445 × 10458) / 1
LCM(10445,10458) = 109233810 / 1
LCM(10445,10458) = 109233810

Least Common Multiple (LCM) of 10445 and 10458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10445 and 10458. First we will calculate the prime factors of 10445 and 10458.

Prime Factorization of 10445

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

10445 = 51 × 20891

Prime Factorization of 10458

Prime factors of 10458 are 2, 3, 7, 83. Prime factorization of 10458 in exponential form is:

10458 = 21 × 32 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 10445 and 10458.

LCM(10445,10458) = 51 × 20891 × 21 × 32 × 71 × 831
LCM(10445,10458) = 109233810