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What is the Least Common Multiple of 10403 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 10403 and 10418 is 108378454.

LCM(10403,10418) = 108378454

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Least Common Multiple of 10403 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 10403 and 10418, than apply into the LCM equation.

GCF(10403,10418) = 1
LCM(10403,10418) = ( 10403 × 10418) / 1
LCM(10403,10418) = 108378454 / 1
LCM(10403,10418) = 108378454

Least Common Multiple (LCM) of 10403 and 10418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10403 and 10418. First we will calculate the prime factors of 10403 and 10418.

Prime Factorization of 10403

Prime factors of 10403 are 101, 103. Prime factorization of 10403 in exponential form is:

10403 = 1011 × 1031

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 10403 and 10418.

LCM(10403,10418) = 1011 × 1031 × 21 × 52091
LCM(10403,10418) = 108378454