What is the Least Common Multiple of 42881 and 42887?
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 42881 and 42887 is 1839037447.
LCM(42881,42887) = 1839037447
Least Common Multiple of 42881 and 42887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42881 and 42887, than apply into the LCM equation.
GCF(42881,42887) = 1
LCM(42881,42887) = ( 42881 × 42887) / 1
LCM(42881,42887) = 1839037447 / 1
LCM(42881,42887) = 1839037447
Least Common Multiple (LCM) of 42881 and 42887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42881 and 42887. First we will calculate the prime factors of 42881 and 42887.
Prime Factorization of 42881
Prime factors of 42881 are 137, 313. Prime factorization of 42881 in exponential form is:
42881 = 1371 × 3131
Prime Factorization of 42887
Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:
42887 = 131 × 32991
Now multiplying the highest exponent prime factors to calculate the LCM of 42881 and 42887.
LCM(42881,42887) = 1371 × 3131 × 131 × 32991
LCM(42881,42887) = 1839037447
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