What is the Least Common Multiple of 93527 and 93535?
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 93527 and 93535 is 8748047945.
LCM(93527,93535) = 8748047945
Least Common Multiple of 93527 and 93535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93527 and 93535, than apply into the LCM equation.
GCF(93527,93535) = 1
LCM(93527,93535) = ( 93527 × 93535) / 1
LCM(93527,93535) = 8748047945 / 1
LCM(93527,93535) = 8748047945
Least Common Multiple (LCM) of 93527 and 93535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93527 and 93535. First we will calculate the prime factors of 93527 and 93535.
Prime Factorization of 93527
Prime factors of 93527 are 7, 31, 431. Prime factorization of 93527 in exponential form is:
93527 = 71 × 311 × 4311
Prime Factorization of 93535
Prime factors of 93535 are 5, 13, 1439. Prime factorization of 93535 in exponential form is:
93535 = 51 × 131 × 14391
Now multiplying the highest exponent prime factors to calculate the LCM of 93527 and 93535.
LCM(93527,93535) = 71 × 311 × 4311 × 51 × 131 × 14391
LCM(93527,93535) = 8748047945
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