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What is the Least Common Multiple of 99667 and 99673?

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 99667 and 99673 is 9934108891.

LCM(99667,99673) = 9934108891

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Least Common Multiple of 99667 and 99673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99667 and 99673, than apply into the LCM equation.

GCF(99667,99673) = 1
LCM(99667,99673) = ( 99667 × 99673) / 1
LCM(99667,99673) = 9934108891 / 1
LCM(99667,99673) = 9934108891

Least Common Multiple (LCM) of 99667 and 99673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99667 and 99673. First we will calculate the prime factors of 99667 and 99673.

Prime Factorization of 99667

Prime factors of 99667 are 99667. Prime factorization of 99667 in exponential form is:

99667 = 996671

Prime Factorization of 99673

Prime factors of 99673 are 7, 29, 491. Prime factorization of 99673 in exponential form is:

99673 = 71 × 291 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 99667 and 99673.

LCM(99667,99673) = 996671 × 71 × 291 × 4911
LCM(99667,99673) = 9934108891