What is the Least Common Multiple of 65838 and 65849?
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 65838 and 65849 is 4335366462.
LCM(65838,65849) = 4335366462
Least Common Multiple of 65838 and 65849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65838 and 65849, than apply into the LCM equation.
GCF(65838,65849) = 1
LCM(65838,65849) = ( 65838 × 65849) / 1
LCM(65838,65849) = 4335366462 / 1
LCM(65838,65849) = 4335366462
Least Common Multiple (LCM) of 65838 and 65849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65838 and 65849. First we will calculate the prime factors of 65838 and 65849.
Prime Factorization of 65838
Prime factors of 65838 are 2, 3, 10973. Prime factorization of 65838 in exponential form is:
65838 = 21 × 31 × 109731
Prime Factorization of 65849
Prime factors of 65849 are 7, 23, 409. Prime factorization of 65849 in exponential form is:
65849 = 71 × 231 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 65838 and 65849.
LCM(65838,65849) = 21 × 31 × 109731 × 71 × 231 × 4091
LCM(65838,65849) = 4335366462
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