What is the Least Common Multiple of 32881 and 32887?
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 32881 and 32887 is 1081357447.
LCM(32881,32887) = 1081357447
Least Common Multiple of 32881 and 32887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32881 and 32887, than apply into the LCM equation.
GCF(32881,32887) = 1
LCM(32881,32887) = ( 32881 × 32887) / 1
LCM(32881,32887) = 1081357447 / 1
LCM(32881,32887) = 1081357447
Least Common Multiple (LCM) of 32881 and 32887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32881 and 32887. First we will calculate the prime factors of 32881 and 32887.
Prime Factorization of 32881
Prime factors of 32881 are 131, 251. Prime factorization of 32881 in exponential form is:
32881 = 1311 × 2511
Prime Factorization of 32887
Prime factors of 32887 are 32887. Prime factorization of 32887 in exponential form is:
32887 = 328871
Now multiplying the highest exponent prime factors to calculate the LCM of 32881 and 32887.
LCM(32881,32887) = 1311 × 2511 × 328871
LCM(32881,32887) = 1081357447
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