What is the Least Common Multiple of 65834 and 65839?
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 65834 and 65839 is 4334444726.
LCM(65834,65839) = 4334444726
Least Common Multiple of 65834 and 65839 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65834 and 65839, than apply into the LCM equation.
GCF(65834,65839) = 1
LCM(65834,65839) = ( 65834 × 65839) / 1
LCM(65834,65839) = 4334444726 / 1
LCM(65834,65839) = 4334444726
Least Common Multiple (LCM) of 65834 and 65839 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65834 and 65839. First we will calculate the prime factors of 65834 and 65839.
Prime Factorization of 65834
Prime factors of 65834 are 2, 32917. Prime factorization of 65834 in exponential form is:
65834 = 21 × 329171
Prime Factorization of 65839
Prime factors of 65839 are 65839. Prime factorization of 65839 in exponential form is:
65839 = 658391
Now multiplying the highest exponent prime factors to calculate the LCM of 65834 and 65839.
LCM(65834,65839) = 21 × 329171 × 658391
LCM(65834,65839) = 4334444726
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