What is the Least Common Multiple of 23911 and 23931?
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 23911 and 23931 is 572214141.
LCM(23911,23931) = 572214141
Least Common Multiple of 23911 and 23931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23911 and 23931, than apply into the LCM equation.
GCF(23911,23931) = 1
LCM(23911,23931) = ( 23911 × 23931) / 1
LCM(23911,23931) = 572214141 / 1
LCM(23911,23931) = 572214141
Least Common Multiple (LCM) of 23911 and 23931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23911 and 23931. First we will calculate the prime factors of 23911 and 23931.
Prime Factorization of 23911
Prime factors of 23911 are 23911. Prime factorization of 23911 in exponential form is:
23911 = 239111
Prime Factorization of 23931
Prime factors of 23931 are 3, 2659. Prime factorization of 23931 in exponential form is:
23931 = 32 × 26591
Now multiplying the highest exponent prime factors to calculate the LCM of 23911 and 23931.
LCM(23911,23931) = 239111 × 32 × 26591
LCM(23911,23931) = 572214141
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