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What is the Least Common Multiple of 99347 and 99359?

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 99347 and 99359 is 9871018573.

LCM(99347,99359) = 9871018573

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Least Common Multiple of 99347 and 99359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99347 and 99359, than apply into the LCM equation.

GCF(99347,99359) = 1
LCM(99347,99359) = ( 99347 × 99359) / 1
LCM(99347,99359) = 9871018573 / 1
LCM(99347,99359) = 9871018573

Least Common Multiple (LCM) of 99347 and 99359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99347 and 99359. First we will calculate the prime factors of 99347 and 99359.

Prime Factorization of 99347

Prime factors of 99347 are 99347. Prime factorization of 99347 in exponential form is:

99347 = 993471

Prime Factorization of 99359

Prime factors of 99359 are 13, 7643. Prime factorization of 99359 in exponential form is:

99359 = 131 × 76431

Now multiplying the highest exponent prime factors to calculate the LCM of 99347 and 99359.

LCM(99347,99359) = 993471 × 131 × 76431
LCM(99347,99359) = 9871018573