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What is the Least Common Multiple of 99703 and 99707?

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 99703 and 99707 is 9941087021.

LCM(99703,99707) = 9941087021

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Least Common Multiple of 99703 and 99707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99703 and 99707, than apply into the LCM equation.

GCF(99703,99707) = 1
LCM(99703,99707) = ( 99703 × 99707) / 1
LCM(99703,99707) = 9941087021 / 1
LCM(99703,99707) = 9941087021

Least Common Multiple (LCM) of 99703 and 99707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99703 and 99707. First we will calculate the prime factors of 99703 and 99707.

Prime Factorization of 99703

Prime factors of 99703 are 179, 557. Prime factorization of 99703 in exponential form is:

99703 = 1791 × 5571

Prime Factorization of 99707

Prime factors of 99707 are 99707. Prime factorization of 99707 in exponential form is:

99707 = 997071

Now multiplying the highest exponent prime factors to calculate the LCM of 99703 and 99707.

LCM(99703,99707) = 1791 × 5571 × 997071
LCM(99703,99707) = 9941087021