What is the Least Common Multiple of 24317 and 24327?
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 24317 and 24327 is 591559659.
LCM(24317,24327) = 591559659
Least Common Multiple of 24317 and 24327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24317 and 24327, than apply into the LCM equation.
GCF(24317,24327) = 1
LCM(24317,24327) = ( 24317 × 24327) / 1
LCM(24317,24327) = 591559659 / 1
LCM(24317,24327) = 591559659
Least Common Multiple (LCM) of 24317 and 24327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24317 and 24327. First we will calculate the prime factors of 24317 and 24327.
Prime Factorization of 24317
Prime factors of 24317 are 24317. Prime factorization of 24317 in exponential form is:
24317 = 243171
Prime Factorization of 24327
Prime factors of 24327 are 3, 17, 53. Prime factorization of 24327 in exponential form is:
24327 = 33 × 171 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 24317 and 24327.
LCM(24317,24327) = 243171 × 33 × 171 × 531
LCM(24317,24327) = 591559659
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