What is the Least Common Multiple of 93863 and 93875?
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 93863 and 93875 is 8811389125.
LCM(93863,93875) = 8811389125
Least Common Multiple of 93863 and 93875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93863 and 93875, than apply into the LCM equation.
GCF(93863,93875) = 1
LCM(93863,93875) = ( 93863 × 93875) / 1
LCM(93863,93875) = 8811389125 / 1
LCM(93863,93875) = 8811389125
Least Common Multiple (LCM) of 93863 and 93875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93863 and 93875. First we will calculate the prime factors of 93863 and 93875.
Prime Factorization of 93863
Prime factors of 93863 are 7, 11, 23, 53. Prime factorization of 93863 in exponential form is:
93863 = 71 × 111 × 231 × 531
Prime Factorization of 93875
Prime factors of 93875 are 5, 751. Prime factorization of 93875 in exponential form is:
93875 = 53 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 93863 and 93875.
LCM(93863,93875) = 71 × 111 × 231 × 531 × 53 × 7511
LCM(93863,93875) = 8811389125
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