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What is the Least Common Multiple of 93905 and 93913?

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 93905 and 93913 is 8818900265.

LCM(93905,93913) = 8818900265

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Least Common Multiple of 93905 and 93913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93905 and 93913, than apply into the LCM equation.

GCF(93905,93913) = 1
LCM(93905,93913) = ( 93905 × 93913) / 1
LCM(93905,93913) = 8818900265 / 1
LCM(93905,93913) = 8818900265

Least Common Multiple (LCM) of 93905 and 93913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93905 and 93913. First we will calculate the prime factors of 93905 and 93913.

Prime Factorization of 93905

Prime factors of 93905 are 5, 7, 2683. Prime factorization of 93905 in exponential form is:

93905 = 51 × 71 × 26831

Prime Factorization of 93913

Prime factors of 93913 are 93913. Prime factorization of 93913 in exponential form is:

93913 = 939131

Now multiplying the highest exponent prime factors to calculate the LCM of 93905 and 93913.

LCM(93905,93913) = 51 × 71 × 26831 × 939131
LCM(93905,93913) = 8818900265