What is the Least Common Multiple of 81071 and 81089?
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 81071 and 81089 is 6573966319.
LCM(81071,81089) = 6573966319
Least Common Multiple of 81071 and 81089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81071 and 81089, than apply into the LCM equation.
GCF(81071,81089) = 1
LCM(81071,81089) = ( 81071 × 81089) / 1
LCM(81071,81089) = 6573966319 / 1
LCM(81071,81089) = 6573966319
Least Common Multiple (LCM) of 81071 and 81089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81071 and 81089. First we will calculate the prime factors of 81071 and 81089.
Prime Factorization of 81071
Prime factors of 81071 are 81071. Prime factorization of 81071 in exponential form is:
81071 = 810711
Prime Factorization of 81089
Prime factors of 81089 are 131, 619. Prime factorization of 81089 in exponential form is:
81089 = 1311 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 81071 and 81089.
LCM(81071,81089) = 810711 × 1311 × 6191
LCM(81071,81089) = 6573966319
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