What is the Least Common Multiple of 81039 and 81058?
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 81039 and 81058 is 6568859262.
LCM(81039,81058) = 6568859262
Least Common Multiple of 81039 and 81058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81039 and 81058, than apply into the LCM equation.
GCF(81039,81058) = 1
LCM(81039,81058) = ( 81039 × 81058) / 1
LCM(81039,81058) = 6568859262 / 1
LCM(81039,81058) = 6568859262
Least Common Multiple (LCM) of 81039 and 81058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81039 and 81058. First we will calculate the prime factors of 81039 and 81058.
Prime Factorization of 81039
Prime factors of 81039 are 3, 7, 17, 227. Prime factorization of 81039 in exponential form is:
81039 = 31 × 71 × 171 × 2271
Prime Factorization of 81058
Prime factors of 81058 are 2, 40529. Prime factorization of 81058 in exponential form is:
81058 = 21 × 405291
Now multiplying the highest exponent prime factors to calculate the LCM of 81039 and 81058.
LCM(81039,81058) = 31 × 71 × 171 × 2271 × 21 × 405291
LCM(81039,81058) = 6568859262
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