What is the Least Common Multiple of 53843 and 53856?
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 53843 and 53856 is 2899768608.
LCM(53843,53856) = 2899768608
Least Common Multiple of 53843 and 53856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53843 and 53856, than apply into the LCM equation.
GCF(53843,53856) = 1
LCM(53843,53856) = ( 53843 × 53856) / 1
LCM(53843,53856) = 2899768608 / 1
LCM(53843,53856) = 2899768608
Least Common Multiple (LCM) of 53843 and 53856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53843 and 53856. First we will calculate the prime factors of 53843 and 53856.
Prime Factorization of 53843
Prime factors of 53843 are 23, 2341. Prime factorization of 53843 in exponential form is:
53843 = 231 × 23411
Prime Factorization of 53856
Prime factors of 53856 are 2, 3, 11, 17. Prime factorization of 53856 in exponential form is:
53856 = 25 × 32 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 53843 and 53856.
LCM(53843,53856) = 231 × 23411 × 25 × 32 × 111 × 171
LCM(53843,53856) = 2899768608
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