What is the Least Common Multiple of 81861 and 81871?
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 81861 and 81871 is 6702041931.
LCM(81861,81871) = 6702041931
Least Common Multiple of 81861 and 81871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81861 and 81871, than apply into the LCM equation.
GCF(81861,81871) = 1
LCM(81861,81871) = ( 81861 × 81871) / 1
LCM(81861,81871) = 6702041931 / 1
LCM(81861,81871) = 6702041931
Least Common Multiple (LCM) of 81861 and 81871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81861 and 81871. First we will calculate the prime factors of 81861 and 81871.
Prime Factorization of 81861
Prime factors of 81861 are 3, 13, 2099. Prime factorization of 81861 in exponential form is:
81861 = 31 × 131 × 20991
Prime Factorization of 81871
Prime factors of 81871 are 19, 31, 139. Prime factorization of 81871 in exponential form is:
81871 = 191 × 311 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 81861 and 81871.
LCM(81861,81871) = 31 × 131 × 20991 × 191 × 311 × 1391
LCM(81861,81871) = 6702041931
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