What is the Least Common Multiple of 23848 and 23866?
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 23848 and 23866 is 284578184.
LCM(23848,23866) = 284578184
Least Common Multiple of 23848 and 23866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23848 and 23866, than apply into the LCM equation.
GCF(23848,23866) = 2
LCM(23848,23866) = ( 23848 × 23866) / 2
LCM(23848,23866) = 569156368 / 2
LCM(23848,23866) = 284578184
Least Common Multiple (LCM) of 23848 and 23866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23848 and 23866. First we will calculate the prime factors of 23848 and 23866.
Prime Factorization of 23848
Prime factors of 23848 are 2, 11, 271. Prime factorization of 23848 in exponential form is:
23848 = 23 × 111 × 2711
Prime Factorization of 23866
Prime factors of 23866 are 2, 11933. Prime factorization of 23866 in exponential form is:
23866 = 21 × 119331
Now multiplying the highest exponent prime factors to calculate the LCM of 23848 and 23866.
LCM(23848,23866) = 23 × 111 × 2711 × 119331
LCM(23848,23866) = 284578184
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