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What is the Least Common Multiple of 93679 and 93697?

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 93679 and 93697 is 8777441263.

LCM(93679,93697) = 8777441263

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Least Common Multiple of 93679 and 93697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93679 and 93697, than apply into the LCM equation.

GCF(93679,93697) = 1
LCM(93679,93697) = ( 93679 × 93697) / 1
LCM(93679,93697) = 8777441263 / 1
LCM(93679,93697) = 8777441263

Least Common Multiple (LCM) of 93679 and 93697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93679 and 93697. First we will calculate the prime factors of 93679 and 93697.

Prime Factorization of 93679

Prime factors of 93679 are 23, 4073. Prime factorization of 93679 in exponential form is:

93679 = 231 × 40731

Prime Factorization of 93697

Prime factors of 93697 are 43, 2179. Prime factorization of 93697 in exponential form is:

93697 = 431 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 93679 and 93697.

LCM(93679,93697) = 231 × 40731 × 431 × 21791
LCM(93679,93697) = 8777441263