What is the Least Common Multiple of 81062 and 81067?
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 81062 and 81067 is 6571453154.
LCM(81062,81067) = 6571453154
Least Common Multiple of 81062 and 81067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81062 and 81067, than apply into the LCM equation.
GCF(81062,81067) = 1
LCM(81062,81067) = ( 81062 × 81067) / 1
LCM(81062,81067) = 6571453154 / 1
LCM(81062,81067) = 6571453154
Least Common Multiple (LCM) of 81062 and 81067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81062 and 81067. First we will calculate the prime factors of 81062 and 81067.
Prime Factorization of 81062
Prime factors of 81062 are 2, 40531. Prime factorization of 81062 in exponential form is:
81062 = 21 × 405311
Prime Factorization of 81067
Prime factors of 81067 are 7, 37, 313. Prime factorization of 81067 in exponential form is:
81067 = 71 × 371 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 81062 and 81067.
LCM(81062,81067) = 21 × 405311 × 71 × 371 × 3131
LCM(81062,81067) = 6571453154
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