What is the Least Common Multiple of 23793 and 23808?
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 23793 and 23808 is 188821248.
LCM(23793,23808) = 188821248
Least Common Multiple of 23793 and 23808 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23793 and 23808, than apply into the LCM equation.
GCF(23793,23808) = 3
LCM(23793,23808) = ( 23793 × 23808) / 3
LCM(23793,23808) = 566463744 / 3
LCM(23793,23808) = 188821248
Least Common Multiple (LCM) of 23793 and 23808 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23793 and 23808. First we will calculate the prime factors of 23793 and 23808.
Prime Factorization of 23793
Prime factors of 23793 are 3, 7, 11, 103. Prime factorization of 23793 in exponential form is:
23793 = 31 × 71 × 111 × 1031
Prime Factorization of 23808
Prime factors of 23808 are 2, 3, 31. Prime factorization of 23808 in exponential form is:
23808 = 28 × 31 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 23793 and 23808.
LCM(23793,23808) = 31 × 71 × 111 × 1031 × 28 × 311
LCM(23793,23808) = 188821248
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