What is the Least Common Multiple of 24863 and 24875?
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 24875 is 618467125.
LCM(24863,24875) = 618467125
Least Common Multiple of 24863 and 24875 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 24875, than apply into the LCM equation.
GCF(24863,24875) = 1
LCM(24863,24875) = ( 24863 × 24875) / 1
LCM(24863,24875) = 618467125 / 1
LCM(24863,24875) = 618467125
Least Common Multiple (LCM) of 24863 and 24875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24863 and 24875. First we will calculate the prime factors of 24863 and 24875.
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 24875
Prime factors of 24875 are 5, 199. Prime factorization of 24875 in exponential form is:
24875 = 53 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 24863 and 24875.
LCM(24863,24875) = 232 × 471 × 53 × 1991
LCM(24863,24875) = 618467125
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