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What is the Least Common Multiple of 93693 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 93693 and 93698 is 8778846714.

LCM(93693,93698) = 8778846714

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Least Common Multiple of 93693 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 93693 and 93698, than apply into the LCM equation.

GCF(93693,93698) = 1
LCM(93693,93698) = ( 93693 × 93698) / 1
LCM(93693,93698) = 8778846714 / 1
LCM(93693,93698) = 8778846714

Least Common Multiple (LCM) of 93693 and 93698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93693 and 93698. First we will calculate the prime factors of 93693 and 93698.

Prime Factorization of 93693

Prime factors of 93693 are 3, 31231. Prime factorization of 93693 in exponential form is:

93693 = 31 × 312311

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 93693 and 93698.

LCM(93693,93698) = 31 × 312311 × 21 × 111 × 42591
LCM(93693,93698) = 8778846714