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What is the Least Common Multiple of 93698 and 93709?

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 93698 and 93709 is 798213262.

LCM(93698,93709) = 798213262

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Least Common Multiple of 93698 and 93709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93698 and 93709, than apply into the LCM equation.

GCF(93698,93709) = 11
LCM(93698,93709) = ( 93698 × 93709) / 11
LCM(93698,93709) = 8780345882 / 11
LCM(93698,93709) = 798213262

Least Common Multiple (LCM) of 93698 and 93709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93698 and 93709. First we will calculate the prime factors of 93698 and 93709.

Prime Factorization of 93698

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

93698 = 21 × 111 × 42591

Prime Factorization of 93709

Prime factors of 93709 are 7, 11, 1217. Prime factorization of 93709 in exponential form is:

93709 = 71 × 111 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 93698 and 93709.

LCM(93698,93709) = 21 × 111 × 42591 × 71 × 12171
LCM(93698,93709) = 798213262