What is the Least Common Multiple of 93535 and 93554?
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 93554 is 8750573390.
LCM(93535,93554) = 8750573390
Least Common Multiple of 93535 and 93554 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 93554, than apply into the LCM equation.
GCF(93535,93554) = 1
LCM(93535,93554) = ( 93535 × 93554) / 1
LCM(93535,93554) = 8750573390 / 1
LCM(93535,93554) = 8750573390
Least Common Multiple (LCM) of 93535 and 93554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93535 and 93554. First we will calculate the prime factors of 93535 and 93554.
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 93554
Prime factors of 93554 are 2, 29, 1613. Prime factorization of 93554 in exponential form is:
93554 = 21 × 291 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 93535 and 93554.
LCM(93535,93554) = 51 × 131 × 14391 × 21 × 291 × 16131
LCM(93535,93554) = 8750573390
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