What is the Least Common Multiple of 24081 and 24099?
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 24081 and 24099 is 193442673.
LCM(24081,24099) = 193442673
Least Common Multiple of 24081 and 24099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24081 and 24099, than apply into the LCM equation.
GCF(24081,24099) = 3
LCM(24081,24099) = ( 24081 × 24099) / 3
LCM(24081,24099) = 580328019 / 3
LCM(24081,24099) = 193442673
Least Common Multiple (LCM) of 24081 and 24099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24081 and 24099. First we will calculate the prime factors of 24081 and 24099.
Prime Factorization of 24081
Prime factors of 24081 are 3, 23, 349. Prime factorization of 24081 in exponential form is:
24081 = 31 × 231 × 3491
Prime Factorization of 24099
Prime factors of 24099 are 3, 29, 277. Prime factorization of 24099 in exponential form is:
24099 = 31 × 291 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 24081 and 24099.
LCM(24081,24099) = 31 × 231 × 3491 × 291 × 2771
LCM(24081,24099) = 193442673
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