What is the Least Common Multiple of 81387 and 81391?
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 81387 and 81391 is 6624169317.
LCM(81387,81391) = 6624169317
Least Common Multiple of 81387 and 81391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81387 and 81391, than apply into the LCM equation.
GCF(81387,81391) = 1
LCM(81387,81391) = ( 81387 × 81391) / 1
LCM(81387,81391) = 6624169317 / 1
LCM(81387,81391) = 6624169317
Least Common Multiple (LCM) of 81387 and 81391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81387 and 81391. First we will calculate the prime factors of 81387 and 81391.
Prime Factorization of 81387
Prime factors of 81387 are 3, 9043. Prime factorization of 81387 in exponential form is:
81387 = 32 × 90431
Prime Factorization of 81391
Prime factors of 81391 are 199, 409. Prime factorization of 81391 in exponential form is:
81391 = 1991 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 81387 and 81391.
LCM(81387,81391) = 32 × 90431 × 1991 × 4091
LCM(81387,81391) = 6624169317
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