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What is the Least Common Multiple of 99371 and 99382?

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 99371 and 99382 is 9875688722.

LCM(99371,99382) = 9875688722

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Least Common Multiple of 99371 and 99382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99371 and 99382, than apply into the LCM equation.

GCF(99371,99382) = 1
LCM(99371,99382) = ( 99371 × 99382) / 1
LCM(99371,99382) = 9875688722 / 1
LCM(99371,99382) = 9875688722

Least Common Multiple (LCM) of 99371 and 99382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99371 and 99382. First we will calculate the prime factors of 99371 and 99382.

Prime Factorization of 99371

Prime factors of 99371 are 99371. Prime factorization of 99371 in exponential form is:

99371 = 993711

Prime Factorization of 99382

Prime factors of 99382 are 2, 17, 37, 79. Prime factorization of 99382 in exponential form is:

99382 = 21 × 171 × 371 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 99371 and 99382.

LCM(99371,99382) = 993711 × 21 × 171 × 371 × 791
LCM(99371,99382) = 9875688722