What is the Least Common Multiple of 93563 and 93568?
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 93563 and 93568 is 8754502784.
LCM(93563,93568) = 8754502784
Least Common Multiple of 93563 and 93568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93563 and 93568, than apply into the LCM equation.
GCF(93563,93568) = 1
LCM(93563,93568) = ( 93563 × 93568) / 1
LCM(93563,93568) = 8754502784 / 1
LCM(93563,93568) = 8754502784
Least Common Multiple (LCM) of 93563 and 93568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93563 and 93568. First we will calculate the prime factors of 93563 and 93568.
Prime Factorization of 93563
Prime factors of 93563 are 93563. Prime factorization of 93563 in exponential form is:
93563 = 935631
Prime Factorization of 93568
Prime factors of 93568 are 2, 17, 43. Prime factorization of 93568 in exponential form is:
93568 = 27 × 171 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 93563 and 93568.
LCM(93563,93568) = 935631 × 27 × 171 × 431
LCM(93563,93568) = 8754502784
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