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What is the Least Common Multiple of 93679 and 93683?

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 93683 is 8776129757.

LCM(93679,93683) = 8776129757

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Least Common Multiple of 93679 and 93683 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 93683, than apply into the LCM equation.

GCF(93679,93683) = 1
LCM(93679,93683) = ( 93679 × 93683) / 1
LCM(93679,93683) = 8776129757 / 1
LCM(93679,93683) = 8776129757

Least Common Multiple (LCM) of 93679 and 93683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93679 and 93683. First we will calculate the prime factors of 93679 and 93683.

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 93683

Prime factors of 93683 are 93683. Prime factorization of 93683 in exponential form is:

93683 = 936831

Now multiplying the highest exponent prime factors to calculate the LCM of 93679 and 93683.

LCM(93679,93683) = 231 × 40731 × 936831
LCM(93679,93683) = 8776129757