What is the Least Common Multiple of 24863 and 24868?
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 24868 is 618293084.
LCM(24863,24868) = 618293084
Least Common Multiple of 24863 and 24868 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 24868, than apply into the LCM equation.
GCF(24863,24868) = 1
LCM(24863,24868) = ( 24863 × 24868) / 1
LCM(24863,24868) = 618293084 / 1
LCM(24863,24868) = 618293084
Least Common Multiple (LCM) of 24863 and 24868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24863 and 24868. First we will calculate the prime factors of 24863 and 24868.
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 24868
Prime factors of 24868 are 2, 6217. Prime factorization of 24868 in exponential form is:
24868 = 22 × 62171
Now multiplying the highest exponent prime factors to calculate the LCM of 24863 and 24868.
LCM(24863,24868) = 232 × 471 × 22 × 62171
LCM(24863,24868) = 618293084
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