What is the Least Common Multiple of 23886 and 23899?
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 23886 and 23899 is 570851514.
LCM(23886,23899) = 570851514
Least Common Multiple of 23886 and 23899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23886 and 23899, than apply into the LCM equation.
GCF(23886,23899) = 1
LCM(23886,23899) = ( 23886 × 23899) / 1
LCM(23886,23899) = 570851514 / 1
LCM(23886,23899) = 570851514
Least Common Multiple (LCM) of 23886 and 23899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23886 and 23899. First we will calculate the prime factors of 23886 and 23899.
Prime Factorization of 23886
Prime factors of 23886 are 2, 3, 1327. Prime factorization of 23886 in exponential form is:
23886 = 21 × 32 × 13271
Prime Factorization of 23899
Prime factors of 23899 are 23899. Prime factorization of 23899 in exponential form is:
23899 = 238991
Now multiplying the highest exponent prime factors to calculate the LCM of 23886 and 23899.
LCM(23886,23899) = 21 × 32 × 13271 × 238991
LCM(23886,23899) = 570851514
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