What is the Least Common Multiple of 24866 and 24886?
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 24866 and 24886 is 309407638.
LCM(24866,24886) = 309407638
Least Common Multiple of 24866 and 24886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24866 and 24886, than apply into the LCM equation.
GCF(24866,24886) = 2
LCM(24866,24886) = ( 24866 × 24886) / 2
LCM(24866,24886) = 618815276 / 2
LCM(24866,24886) = 309407638
Least Common Multiple (LCM) of 24866 and 24886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24866 and 24886. First we will calculate the prime factors of 24866 and 24886.
Prime Factorization of 24866
Prime factors of 24866 are 2, 12433. Prime factorization of 24866 in exponential form is:
24866 = 21 × 124331
Prime Factorization of 24886
Prime factors of 24886 are 2, 23, 541. Prime factorization of 24886 in exponential form is:
24886 = 21 × 231 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 24866 and 24886.
LCM(24866,24886) = 21 × 124331 × 231 × 5411
LCM(24866,24886) = 309407638
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