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What is the Least Common Multiple of 99410 and 99421?

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 99410 and 99421 is 9883441610.

LCM(99410,99421) = 9883441610

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Least Common Multiple of 99410 and 99421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99410 and 99421, than apply into the LCM equation.

GCF(99410,99421) = 1
LCM(99410,99421) = ( 99410 × 99421) / 1
LCM(99410,99421) = 9883441610 / 1
LCM(99410,99421) = 9883441610

Least Common Multiple (LCM) of 99410 and 99421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99410 and 99421. First we will calculate the prime factors of 99410 and 99421.

Prime Factorization of 99410

Prime factors of 99410 are 2, 5, 9941. Prime factorization of 99410 in exponential form is:

99410 = 21 × 51 × 99411

Prime Factorization of 99421

Prime factors of 99421 are 7, 2029. Prime factorization of 99421 in exponential form is:

99421 = 72 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 99410 and 99421.

LCM(99410,99421) = 21 × 51 × 99411 × 72 × 20291
LCM(99410,99421) = 9883441610