What is the Least Common Multiple of 65834 and 65844?
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 65844 is 2167386948.
LCM(65834,65844) = 2167386948
Least Common Multiple of 65834 and 65844 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 65844, than apply into the LCM equation.
GCF(65834,65844) = 2
LCM(65834,65844) = ( 65834 × 65844) / 2
LCM(65834,65844) = 4334773896 / 2
LCM(65834,65844) = 2167386948
Least Common Multiple (LCM) of 65834 and 65844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65834 and 65844. First we will calculate the prime factors of 65834 and 65844.
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 65844
Prime factors of 65844 are 2, 3, 31, 59. Prime factorization of 65844 in exponential form is:
65844 = 22 × 32 × 311 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 65834 and 65844.
LCM(65834,65844) = 22 × 329171 × 32 × 311 × 591
LCM(65834,65844) = 2167386948
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