What is the Least Common Multiple of 23861 and 23879?
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 23861 and 23879 is 569776819.
LCM(23861,23879) = 569776819
Least Common Multiple of 23861 and 23879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23861 and 23879, than apply into the LCM equation.
GCF(23861,23879) = 1
LCM(23861,23879) = ( 23861 × 23879) / 1
LCM(23861,23879) = 569776819 / 1
LCM(23861,23879) = 569776819
Least Common Multiple (LCM) of 23861 and 23879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23861 and 23879. First we will calculate the prime factors of 23861 and 23879.
Prime Factorization of 23861
Prime factors of 23861 are 107, 223. Prime factorization of 23861 in exponential form is:
23861 = 1071 × 2231
Prime Factorization of 23879
Prime factors of 23879 are 23879. Prime factorization of 23879 in exponential form is:
23879 = 238791
Now multiplying the highest exponent prime factors to calculate the LCM of 23861 and 23879.
LCM(23861,23879) = 1071 × 2231 × 238791
LCM(23861,23879) = 569776819
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