What is the Least Common Multiple of 81371 and 81381?
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 81371 and 81381 is 6622053351.
LCM(81371,81381) = 6622053351
Least Common Multiple of 81371 and 81381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81371 and 81381, than apply into the LCM equation.
GCF(81371,81381) = 1
LCM(81371,81381) = ( 81371 × 81381) / 1
LCM(81371,81381) = 6622053351 / 1
LCM(81371,81381) = 6622053351
Least Common Multiple (LCM) of 81371 and 81381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81371 and 81381. First we will calculate the prime factors of 81371 and 81381.
Prime Factorization of 81371
Prime factors of 81371 are 81371. Prime factorization of 81371 in exponential form is:
81371 = 813711
Prime Factorization of 81381
Prime factors of 81381 are 3, 27127. Prime factorization of 81381 in exponential form is:
81381 = 31 × 271271
Now multiplying the highest exponent prime factors to calculate the LCM of 81371 and 81381.
LCM(81371,81381) = 813711 × 31 × 271271
LCM(81371,81381) = 6622053351
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