What is the Least Common Multiple of 52841 and 52846?
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 52841 and 52846 is 2792435486.
LCM(52841,52846) = 2792435486
Least Common Multiple of 52841 and 52846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52841 and 52846, than apply into the LCM equation.
GCF(52841,52846) = 1
LCM(52841,52846) = ( 52841 × 52846) / 1
LCM(52841,52846) = 2792435486 / 1
LCM(52841,52846) = 2792435486
Least Common Multiple (LCM) of 52841 and 52846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52841 and 52846. First we will calculate the prime factors of 52841 and 52846.
Prime Factorization of 52841
Prime factors of 52841 are 53, 997. Prime factorization of 52841 in exponential form is:
52841 = 531 × 9971
Prime Factorization of 52846
Prime factors of 52846 are 2, 26423. Prime factorization of 52846 in exponential form is:
52846 = 21 × 264231
Now multiplying the highest exponent prime factors to calculate the LCM of 52841 and 52846.
LCM(52841,52846) = 531 × 9971 × 21 × 264231
LCM(52841,52846) = 2792435486
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