What is the Least Common Multiple of 81797 and 81805?
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 81797 and 81805 is 6691403585.
LCM(81797,81805) = 6691403585
Least Common Multiple of 81797 and 81805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81797 and 81805, than apply into the LCM equation.
GCF(81797,81805) = 1
LCM(81797,81805) = ( 81797 × 81805) / 1
LCM(81797,81805) = 6691403585 / 1
LCM(81797,81805) = 6691403585
Least Common Multiple (LCM) of 81797 and 81805 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81797 and 81805. First we will calculate the prime factors of 81797 and 81805.
Prime Factorization of 81797
Prime factors of 81797 are 157, 521. Prime factorization of 81797 in exponential form is:
81797 = 1571 × 5211
Prime Factorization of 81805
Prime factors of 81805 are 5, 16361. Prime factorization of 81805 in exponential form is:
81805 = 51 × 163611
Now multiplying the highest exponent prime factors to calculate the LCM of 81797 and 81805.
LCM(81797,81805) = 1571 × 5211 × 51 × 163611
LCM(81797,81805) = 6691403585
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