What is the Least Common Multiple of 24861 and 24866?
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 24861 and 24866 is 618193626.
LCM(24861,24866) = 618193626
Least Common Multiple of 24861 and 24866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24861 and 24866, than apply into the LCM equation.
GCF(24861,24866) = 1
LCM(24861,24866) = ( 24861 × 24866) / 1
LCM(24861,24866) = 618193626 / 1
LCM(24861,24866) = 618193626
Least Common Multiple (LCM) of 24861 and 24866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24861 and 24866. First we will calculate the prime factors of 24861 and 24866.
Prime Factorization of 24861
Prime factors of 24861 are 3, 8287. Prime factorization of 24861 in exponential form is:
24861 = 31 × 82871
Prime Factorization of 24866
Prime factors of 24866 are 2, 12433. Prime factorization of 24866 in exponential form is:
24866 = 21 × 124331
Now multiplying the highest exponent prime factors to calculate the LCM of 24861 and 24866.
LCM(24861,24866) = 31 × 82871 × 21 × 124331
LCM(24861,24866) = 618193626
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