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What is the Least Common Multiple of 99067 and 99074?

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 99067 and 99074 is 9814963958.

LCM(99067,99074) = 9814963958

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Least Common Multiple of 99067 and 99074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99067 and 99074, than apply into the LCM equation.

GCF(99067,99074) = 1
LCM(99067,99074) = ( 99067 × 99074) / 1
LCM(99067,99074) = 9814963958 / 1
LCM(99067,99074) = 9814963958

Least Common Multiple (LCM) of 99067 and 99074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99067 and 99074. First we will calculate the prime factors of 99067 and 99074.

Prime Factorization of 99067

Prime factors of 99067 are 157, 631. Prime factorization of 99067 in exponential form is:

99067 = 1571 × 6311

Prime Factorization of 99074

Prime factors of 99074 are 2, 49537. Prime factorization of 99074 in exponential form is:

99074 = 21 × 495371

Now multiplying the highest exponent prime factors to calculate the LCM of 99067 and 99074.

LCM(99067,99074) = 1571 × 6311 × 21 × 495371
LCM(99067,99074) = 9814963958