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What is the Least Common Multiple of 96563 and 96583?

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 96563 and 96583 is 9326344229.

LCM(96563,96583) = 9326344229

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Least Common Multiple of 96563 and 96583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96563 and 96583, than apply into the LCM equation.

GCF(96563,96583) = 1
LCM(96563,96583) = ( 96563 × 96583) / 1
LCM(96563,96583) = 9326344229 / 1
LCM(96563,96583) = 9326344229

Least Common Multiple (LCM) of 96563 and 96583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96563 and 96583. First we will calculate the prime factors of 96563 and 96583.

Prime Factorization of 96563

Prime factors of 96563 are 61, 1583. Prime factorization of 96563 in exponential form is:

96563 = 611 × 15831

Prime Factorization of 96583

Prime factors of 96583 are 59, 1637. Prime factorization of 96583 in exponential form is:

96583 = 591 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 96563 and 96583.

LCM(96563,96583) = 611 × 15831 × 591 × 16371
LCM(96563,96583) = 9326344229