What is the Least Common Multiple of 93535 and 93542?
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 93542 is 8749450970.
LCM(93535,93542) = 8749450970
Least Common Multiple of 93535 and 93542 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 93542, than apply into the LCM equation.
GCF(93535,93542) = 1
LCM(93535,93542) = ( 93535 × 93542) / 1
LCM(93535,93542) = 8749450970 / 1
LCM(93535,93542) = 8749450970
Least Common Multiple (LCM) of 93535 and 93542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93535 and 93542. First we will calculate the prime factors of 93535 and 93542.
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 93542
Prime factors of 93542 are 2, 46771. Prime factorization of 93542 in exponential form is:
93542 = 21 × 467711
Now multiplying the highest exponent prime factors to calculate the LCM of 93535 and 93542.
LCM(93535,93542) = 51 × 131 × 14391 × 21 × 467711
LCM(93535,93542) = 8749450970
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