What is the Least Common Multiple of 15881 and 15887?
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 15881 and 15887 is 252301447.
LCM(15881,15887) = 252301447
Least Common Multiple of 15881 and 15887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15881 and 15887, than apply into the LCM equation.
GCF(15881,15887) = 1
LCM(15881,15887) = ( 15881 × 15887) / 1
LCM(15881,15887) = 252301447 / 1
LCM(15881,15887) = 252301447
Least Common Multiple (LCM) of 15881 and 15887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15881 and 15887. First we will calculate the prime factors of 15881 and 15887.
Prime Factorization of 15881
Prime factors of 15881 are 15881. Prime factorization of 15881 in exponential form is:
15881 = 158811
Prime Factorization of 15887
Prime factors of 15887 are 15887. Prime factorization of 15887 in exponential form is:
15887 = 158871
Now multiplying the highest exponent prime factors to calculate the LCM of 15881 and 15887.
LCM(15881,15887) = 158811 × 158871
LCM(15881,15887) = 252301447
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