What is the Least Common Multiple of 81266 and 81273?
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 81266 and 81273 is 6604731618.
LCM(81266,81273) = 6604731618
Least Common Multiple of 81266 and 81273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81266 and 81273, than apply into the LCM equation.
GCF(81266,81273) = 1
LCM(81266,81273) = ( 81266 × 81273) / 1
LCM(81266,81273) = 6604731618 / 1
LCM(81266,81273) = 6604731618
Least Common Multiple (LCM) of 81266 and 81273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81266 and 81273. First we will calculate the prime factors of 81266 and 81273.
Prime Factorization of 81266
Prime factors of 81266 are 2, 179, 227. Prime factorization of 81266 in exponential form is:
81266 = 21 × 1791 × 2271
Prime Factorization of 81273
Prime factors of 81273 are 3, 27091. Prime factorization of 81273 in exponential form is:
81273 = 31 × 270911
Now multiplying the highest exponent prime factors to calculate the LCM of 81266 and 81273.
LCM(81266,81273) = 21 × 1791 × 2271 × 31 × 270911
LCM(81266,81273) = 6604731618
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