What is the Least Common Multiple of 23882 and 23886?
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 23882 and 23886 is 285222726.
LCM(23882,23886) = 285222726
Least Common Multiple of 23882 and 23886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23882 and 23886, than apply into the LCM equation.
GCF(23882,23886) = 2
LCM(23882,23886) = ( 23882 × 23886) / 2
LCM(23882,23886) = 570445452 / 2
LCM(23882,23886) = 285222726
Least Common Multiple (LCM) of 23882 and 23886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23882 and 23886. First we will calculate the prime factors of 23882 and 23886.
Prime Factorization of 23882
Prime factors of 23882 are 2, 11941. Prime factorization of 23882 in exponential form is:
23882 = 21 × 119411
Prime Factorization of 23886
Prime factors of 23886 are 2, 3, 1327. Prime factorization of 23886 in exponential form is:
23886 = 21 × 32 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 23882 and 23886.
LCM(23882,23886) = 21 × 119411 × 32 × 13271
LCM(23882,23886) = 285222726
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