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What is the Least Common Multiple of 99394 and 99411?

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 99394 and 99411 is 9880856934.

LCM(99394,99411) = 9880856934

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Least Common Multiple of 99394 and 99411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99394 and 99411, than apply into the LCM equation.

GCF(99394,99411) = 1
LCM(99394,99411) = ( 99394 × 99411) / 1
LCM(99394,99411) = 9880856934 / 1
LCM(99394,99411) = 9880856934

Least Common Multiple (LCM) of 99394 and 99411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99394 and 99411. First we will calculate the prime factors of 99394 and 99411.

Prime Factorization of 99394

Prime factors of 99394 are 2, 49697. Prime factorization of 99394 in exponential form is:

99394 = 21 × 496971

Prime Factorization of 99411

Prime factors of 99411 are 3, 13, 2549. Prime factorization of 99411 in exponential form is:

99411 = 31 × 131 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 99394 and 99411.

LCM(99394,99411) = 21 × 496971 × 31 × 131 × 25491
LCM(99394,99411) = 9880856934