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What is the Least Common Multiple of 10418 and 10434?

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 10418 and 10434 is 54350706.

LCM(10418,10434) = 54350706

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Least Common Multiple of 10418 and 10434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10418 and 10434, than apply into the LCM equation.

GCF(10418,10434) = 2
LCM(10418,10434) = ( 10418 × 10434) / 2
LCM(10418,10434) = 108701412 / 2
LCM(10418,10434) = 54350706

Least Common Multiple (LCM) of 10418 and 10434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10418 and 10434. First we will calculate the prime factors of 10418 and 10434.

Prime Factorization of 10418

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

10418 = 21 × 52091

Prime Factorization of 10434

Prime factors of 10434 are 2, 3, 37, 47. Prime factorization of 10434 in exponential form is:

10434 = 21 × 31 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 10418 and 10434.

LCM(10418,10434) = 21 × 52091 × 31 × 371 × 471
LCM(10418,10434) = 54350706