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What is the Least Common Multiple of 99659 and 99665?

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 99659 and 99665 is 9932514235.

LCM(99659,99665) = 9932514235

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Least Common Multiple of 99659 and 99665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99659 and 99665, than apply into the LCM equation.

GCF(99659,99665) = 1
LCM(99659,99665) = ( 99659 × 99665) / 1
LCM(99659,99665) = 9932514235 / 1
LCM(99659,99665) = 9932514235

Least Common Multiple (LCM) of 99659 and 99665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99659 and 99665. First we will calculate the prime factors of 99659 and 99665.

Prime Factorization of 99659

Prime factors of 99659 are 7, 23, 619. Prime factorization of 99659 in exponential form is:

99659 = 71 × 231 × 6191

Prime Factorization of 99665

Prime factors of 99665 are 5, 31, 643. Prime factorization of 99665 in exponential form is:

99665 = 51 × 311 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 99659 and 99665.

LCM(99659,99665) = 71 × 231 × 6191 × 51 × 311 × 6431
LCM(99659,99665) = 9932514235