What is the Least Common Multiple of 24163 and 24173?
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 24163 and 24173 is 584092199.
LCM(24163,24173) = 584092199
Least Common Multiple of 24163 and 24173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24163 and 24173, than apply into the LCM equation.
GCF(24163,24173) = 1
LCM(24163,24173) = ( 24163 × 24173) / 1
LCM(24163,24173) = 584092199 / 1
LCM(24163,24173) = 584092199
Least Common Multiple (LCM) of 24163 and 24173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24163 and 24173. First we will calculate the prime factors of 24163 and 24173.
Prime Factorization of 24163
Prime factors of 24163 are 73, 331. Prime factorization of 24163 in exponential form is:
24163 = 731 × 3311
Prime Factorization of 24173
Prime factors of 24173 are 23, 1051. Prime factorization of 24173 in exponential form is:
24173 = 231 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 24163 and 24173.
LCM(24163,24173) = 731 × 3311 × 231 × 10511
LCM(24163,24173) = 584092199
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