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What is the Least Common Multiple of 93535 and 93549?

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 93535 and 93549 is 8750105715.

LCM(93535,93549) = 8750105715

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Least Common Multiple of 93535 and 93549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93535 and 93549, than apply into the LCM equation.

GCF(93535,93549) = 1
LCM(93535,93549) = ( 93535 × 93549) / 1
LCM(93535,93549) = 8750105715 / 1
LCM(93535,93549) = 8750105715

Least Common Multiple (LCM) of 93535 and 93549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93535 and 93549. First we will calculate the prime factors of 93535 and 93549.

Prime Factorization of 93535

Prime factors of 93535 are 5, 13, 1439. Prime factorization of 93535 in exponential form is:

93535 = 51 × 131 × 14391

Prime Factorization of 93549

Prime factors of 93549 are 3, 31183. Prime factorization of 93549 in exponential form is:

93549 = 31 × 311831

Now multiplying the highest exponent prime factors to calculate the LCM of 93535 and 93549.

LCM(93535,93549) = 51 × 131 × 14391 × 31 × 311831
LCM(93535,93549) = 8750105715