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What is the Least Common Multiple of 95599 and 95609?

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 95599 and 95609 is 9140124791.

LCM(95599,95609) = 9140124791

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Least Common Multiple of 95599 and 95609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95599 and 95609, than apply into the LCM equation.

GCF(95599,95609) = 1
LCM(95599,95609) = ( 95599 × 95609) / 1
LCM(95599,95609) = 9140124791 / 1
LCM(95599,95609) = 9140124791

Least Common Multiple (LCM) of 95599 and 95609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95599 and 95609. First we will calculate the prime factors of 95599 and 95609.

Prime Factorization of 95599

Prime factors of 95599 are 7, 1951. Prime factorization of 95599 in exponential form is:

95599 = 72 × 19511

Prime Factorization of 95609

Prime factors of 95609 are 67, 1427. Prime factorization of 95609 in exponential form is:

95609 = 671 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 95599 and 95609.

LCM(95599,95609) = 72 × 19511 × 671 × 14271
LCM(95599,95609) = 9140124791