What is the Least Common Multiple of 65463 and 65482?
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 65463 and 65482 is 4286648166.
LCM(65463,65482) = 4286648166
Least Common Multiple of 65463 and 65482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65463 and 65482, than apply into the LCM equation.
GCF(65463,65482) = 1
LCM(65463,65482) = ( 65463 × 65482) / 1
LCM(65463,65482) = 4286648166 / 1
LCM(65463,65482) = 4286648166
Least Common Multiple (LCM) of 65463 and 65482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65463 and 65482. First we will calculate the prime factors of 65463 and 65482.
Prime Factorization of 65463
Prime factors of 65463 are 3, 21821. Prime factorization of 65463 in exponential form is:
65463 = 31 × 218211
Prime Factorization of 65482
Prime factors of 65482 are 2, 29, 1129. Prime factorization of 65482 in exponential form is:
65482 = 21 × 291 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 65463 and 65482.
LCM(65463,65482) = 31 × 218211 × 21 × 291 × 11291
LCM(65463,65482) = 4286648166
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