What is the Least Common Multiple of 88383 and 88393?
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 88383 and 88393 is 7812438519.
LCM(88383,88393) = 7812438519
Least Common Multiple of 88383 and 88393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88383 and 88393, than apply into the LCM equation.
GCF(88383,88393) = 1
LCM(88383,88393) = ( 88383 × 88393) / 1
LCM(88383,88393) = 7812438519 / 1
LCM(88383,88393) = 7812438519
Least Common Multiple (LCM) of 88383 and 88393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88383 and 88393. First we will calculate the prime factors of 88383 and 88393.
Prime Factorization of 88383
Prime factors of 88383 are 3, 17, 1733. Prime factorization of 88383 in exponential form is:
88383 = 31 × 171 × 17331
Prime Factorization of 88393
Prime factors of 88393 are 37, 2389. Prime factorization of 88393 in exponential form is:
88393 = 371 × 23891
Now multiplying the highest exponent prime factors to calculate the LCM of 88383 and 88393.
LCM(88383,88393) = 31 × 171 × 17331 × 371 × 23891
LCM(88383,88393) = 7812438519
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