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What is the Least Common Multiple of 10405 and 10418?

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 10405 and 10418 is 108399290.

LCM(10405,10418) = 108399290

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Least Common Multiple of 10405 and 10418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10405 and 10418, than apply into the LCM equation.

GCF(10405,10418) = 1
LCM(10405,10418) = ( 10405 × 10418) / 1
LCM(10405,10418) = 108399290 / 1
LCM(10405,10418) = 108399290

Least Common Multiple (LCM) of 10405 and 10418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10405 and 10418. First we will calculate the prime factors of 10405 and 10418.

Prime Factorization of 10405

Prime factors of 10405 are 5, 2081. Prime factorization of 10405 in exponential form is:

10405 = 51 × 20811

Prime Factorization of 10418

Prime factors of 10418 are 2, 5209. Prime factorization of 10418 in exponential form is:

10418 = 21 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 10405 and 10418.

LCM(10405,10418) = 51 × 20811 × 21 × 52091
LCM(10405,10418) = 108399290