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What is the Least Common Multiple of 93681 and 93698?

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 93681 and 93698 is 8777722338.

LCM(93681,93698) = 8777722338

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Least Common Multiple of 93681 and 93698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93681 and 93698, than apply into the LCM equation.

GCF(93681,93698) = 1
LCM(93681,93698) = ( 93681 × 93698) / 1
LCM(93681,93698) = 8777722338 / 1
LCM(93681,93698) = 8777722338

Least Common Multiple (LCM) of 93681 and 93698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93681 and 93698. First we will calculate the prime factors of 93681 and 93698.

Prime Factorization of 93681

Prime factors of 93681 are 3, 7, 1487. Prime factorization of 93681 in exponential form is:

93681 = 32 × 71 × 14871

Prime Factorization of 93698

Prime factors of 93698 are 2, 11, 4259. Prime factorization of 93698 in exponential form is:

93698 = 21 × 111 × 42591

Now multiplying the highest exponent prime factors to calculate the LCM of 93681 and 93698.

LCM(93681,93698) = 32 × 71 × 14871 × 21 × 111 × 42591
LCM(93681,93698) = 8777722338