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What is the Least Common Multiple of 96883 and 96893?

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 96883 and 96893 is 9387284519.

LCM(96883,96893) = 9387284519

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Least Common Multiple of 96883 and 96893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96883 and 96893, than apply into the LCM equation.

GCF(96883,96893) = 1
LCM(96883,96893) = ( 96883 × 96893) / 1
LCM(96883,96893) = 9387284519 / 1
LCM(96883,96893) = 9387284519

Least Common Multiple (LCM) of 96883 and 96893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96883 and 96893. First we will calculate the prime factors of 96883 and 96893.

Prime Factorization of 96883

Prime factors of 96883 are 17, 41, 139. Prime factorization of 96883 in exponential form is:

96883 = 171 × 411 × 1391

Prime Factorization of 96893

Prime factors of 96893 are 96893. Prime factorization of 96893 in exponential form is:

96893 = 968931

Now multiplying the highest exponent prime factors to calculate the LCM of 96883 and 96893.

LCM(96883,96893) = 171 × 411 × 1391 × 968931
LCM(96883,96893) = 9387284519