What is the Least Common Multiple of 81027 and 81047?
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 81027 and 81047 is 6566995269.
LCM(81027,81047) = 6566995269
Least Common Multiple of 81027 and 81047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81027 and 81047, than apply into the LCM equation.
GCF(81027,81047) = 1
LCM(81027,81047) = ( 81027 × 81047) / 1
LCM(81027,81047) = 6566995269 / 1
LCM(81027,81047) = 6566995269
Least Common Multiple (LCM) of 81027 and 81047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81027 and 81047. First we will calculate the prime factors of 81027 and 81047.
Prime Factorization of 81027
Prime factors of 81027 are 3, 3001. Prime factorization of 81027 in exponential form is:
81027 = 33 × 30011
Prime Factorization of 81047
Prime factors of 81047 are 81047. Prime factorization of 81047 in exponential form is:
81047 = 810471
Now multiplying the highest exponent prime factors to calculate the LCM of 81027 and 81047.
LCM(81027,81047) = 33 × 30011 × 810471
LCM(81027,81047) = 6566995269
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