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What is the Least Common Multiple of 99373 and 99377?

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 99373 and 99377 is 9875390621.

LCM(99373,99377) = 9875390621

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Least Common Multiple of 99373 and 99377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99373 and 99377, than apply into the LCM equation.

GCF(99373,99377) = 1
LCM(99373,99377) = ( 99373 × 99377) / 1
LCM(99373,99377) = 9875390621 / 1
LCM(99373,99377) = 9875390621

Least Common Multiple (LCM) of 99373 and 99377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99373 and 99377. First we will calculate the prime factors of 99373 and 99377.

Prime Factorization of 99373

Prime factors of 99373 are 43, 2311. Prime factorization of 99373 in exponential form is:

99373 = 431 × 23111

Prime Factorization of 99377

Prime factors of 99377 are 99377. Prime factorization of 99377 in exponential form is:

99377 = 993771

Now multiplying the highest exponent prime factors to calculate the LCM of 99373 and 99377.

LCM(99373,99377) = 431 × 23111 × 993771
LCM(99373,99377) = 9875390621