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What is the Least Common Multiple of 99713 and 99733?

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 99713 and 99733 is 9944676629.

LCM(99713,99733) = 9944676629

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Least Common Multiple of 99713 and 99733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99713 and 99733, than apply into the LCM equation.

GCF(99713,99733) = 1
LCM(99713,99733) = ( 99713 × 99733) / 1
LCM(99713,99733) = 9944676629 / 1
LCM(99713,99733) = 9944676629

Least Common Multiple (LCM) of 99713 and 99733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99713 and 99733. First we will calculate the prime factors of 99713 and 99733.

Prime Factorization of 99713

Prime factors of 99713 are 99713. Prime factorization of 99713 in exponential form is:

99713 = 997131

Prime Factorization of 99733

Prime factors of 99733 are 99733. Prime factorization of 99733 in exponential form is:

99733 = 997331

Now multiplying the highest exponent prime factors to calculate the LCM of 99713 and 99733.

LCM(99713,99733) = 997131 × 997331
LCM(99713,99733) = 9944676629