What is the Least Common Multiple of 23843 and 23850?
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 23843 and 23850 is 568655550.
LCM(23843,23850) = 568655550
Least Common Multiple of 23843 and 23850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23843 and 23850, than apply into the LCM equation.
GCF(23843,23850) = 1
LCM(23843,23850) = ( 23843 × 23850) / 1
LCM(23843,23850) = 568655550 / 1
LCM(23843,23850) = 568655550
Least Common Multiple (LCM) of 23843 and 23850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23843 and 23850. First we will calculate the prime factors of 23843 and 23850.
Prime Factorization of 23843
Prime factors of 23843 are 113, 211. Prime factorization of 23843 in exponential form is:
23843 = 1131 × 2111
Prime Factorization of 23850
Prime factors of 23850 are 2, 3, 5, 53. Prime factorization of 23850 in exponential form is:
23850 = 21 × 32 × 52 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 23843 and 23850.
LCM(23843,23850) = 1131 × 2111 × 21 × 32 × 52 × 531
LCM(23843,23850) = 568655550
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