What is the Least Common Multiple of 24863 and 24867?
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 24863 and 24867 is 618268221.
LCM(24863,24867) = 618268221
Least Common Multiple of 24863 and 24867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24863 and 24867, than apply into the LCM equation.
GCF(24863,24867) = 1
LCM(24863,24867) = ( 24863 × 24867) / 1
LCM(24863,24867) = 618268221 / 1
LCM(24863,24867) = 618268221
Least Common Multiple (LCM) of 24863 and 24867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24863 and 24867. First we will calculate the prime factors of 24863 and 24867.
Prime Factorization of 24863
Prime factors of 24863 are 23, 47. Prime factorization of 24863 in exponential form is:
24863 = 232 × 471
Prime Factorization of 24867
Prime factors of 24867 are 3, 307. Prime factorization of 24867 in exponential form is:
24867 = 34 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 24863 and 24867.
LCM(24863,24867) = 232 × 471 × 34 × 3071
LCM(24863,24867) = 618268221
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