What is the Least Common Multiple of 42866 and 42873?
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 42866 and 42873 is 1837794018.
LCM(42866,42873) = 1837794018
Least Common Multiple of 42866 and 42873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42866 and 42873, than apply into the LCM equation.
GCF(42866,42873) = 1
LCM(42866,42873) = ( 42866 × 42873) / 1
LCM(42866,42873) = 1837794018 / 1
LCM(42866,42873) = 1837794018
Least Common Multiple (LCM) of 42866 and 42873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42866 and 42873. First we will calculate the prime factors of 42866 and 42873.
Prime Factorization of 42866
Prime factors of 42866 are 2, 21433. Prime factorization of 42866 in exponential form is:
42866 = 21 × 214331
Prime Factorization of 42873
Prime factors of 42873 are 3, 31, 461. Prime factorization of 42873 in exponential form is:
42873 = 31 × 311 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 42866 and 42873.
LCM(42866,42873) = 21 × 214331 × 31 × 311 × 4611
LCM(42866,42873) = 1837794018
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