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What is the Least Common Multiple of 93555 and 93559?

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 93555 and 93559 is 8752912245.

LCM(93555,93559) = 8752912245

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Least Common Multiple of 93555 and 93559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93555 and 93559, than apply into the LCM equation.

GCF(93555,93559) = 1
LCM(93555,93559) = ( 93555 × 93559) / 1
LCM(93555,93559) = 8752912245 / 1
LCM(93555,93559) = 8752912245

Least Common Multiple (LCM) of 93555 and 93559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93555 and 93559. First we will calculate the prime factors of 93555 and 93559.

Prime Factorization of 93555

Prime factors of 93555 are 3, 5, 7, 11. Prime factorization of 93555 in exponential form is:

93555 = 35 × 51 × 71 × 111

Prime Factorization of 93559

Prime factors of 93559 are 93559. Prime factorization of 93559 in exponential form is:

93559 = 935591

Now multiplying the highest exponent prime factors to calculate the LCM of 93555 and 93559.

LCM(93555,93559) = 35 × 51 × 71 × 111 × 935591
LCM(93555,93559) = 8752912245