What is the Least Common Multiple of 40871 and 40887?
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 40871 and 40887 is 1671092577.
LCM(40871,40887) = 1671092577
Least Common Multiple of 40871 and 40887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40871 and 40887, than apply into the LCM equation.
GCF(40871,40887) = 1
LCM(40871,40887) = ( 40871 × 40887) / 1
LCM(40871,40887) = 1671092577 / 1
LCM(40871,40887) = 1671092577
Least Common Multiple (LCM) of 40871 and 40887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40871 and 40887. First we will calculate the prime factors of 40871 and 40887.
Prime Factorization of 40871
Prime factors of 40871 are 23, 1777. Prime factorization of 40871 in exponential form is:
40871 = 231 × 17771
Prime Factorization of 40887
Prime factors of 40887 are 3, 7, 11, 59. Prime factorization of 40887 in exponential form is:
40887 = 32 × 71 × 111 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 40871 and 40887.
LCM(40871,40887) = 231 × 17771 × 32 × 71 × 111 × 591
LCM(40871,40887) = 1671092577
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