What is the Least Common Multiple of 81373 and 81377?
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 81373 and 81377 is 6621890621.
LCM(81373,81377) = 6621890621
Least Common Multiple of 81373 and 81377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81373 and 81377, than apply into the LCM equation.
GCF(81373,81377) = 1
LCM(81373,81377) = ( 81373 × 81377) / 1
LCM(81373,81377) = 6621890621 / 1
LCM(81373,81377) = 6621890621
Least Common Multiple (LCM) of 81373 and 81377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81373 and 81377. First we will calculate the prime factors of 81373 and 81377.
Prime Factorization of 81373
Prime factors of 81373 are 81373. Prime factorization of 81373 in exponential form is:
81373 = 813731
Prime Factorization of 81377
Prime factors of 81377 are 19, 4283. Prime factorization of 81377 in exponential form is:
81377 = 191 × 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 81373 and 81377.
LCM(81373,81377) = 813731 × 191 × 42831
LCM(81373,81377) = 6621890621
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