What is the Least Common Multiple of 6883 and 6887?
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 6883 and 6887 is 47403221.
LCM(6883,6887) = 47403221
Least Common Multiple of 6883 and 6887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6883 and 6887, than apply into the LCM equation.
GCF(6883,6887) = 1
LCM(6883,6887) = ( 6883 × 6887) / 1
LCM(6883,6887) = 47403221 / 1
LCM(6883,6887) = 47403221
Least Common Multiple (LCM) of 6883 and 6887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6883 and 6887. First we will calculate the prime factors of 6883 and 6887.
Prime Factorization of 6883
Prime factors of 6883 are 6883. Prime factorization of 6883 in exponential form is:
6883 = 68831
Prime Factorization of 6887
Prime factors of 6887 are 71, 97. Prime factorization of 6887 in exponential form is:
6887 = 711 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 6883 and 6887.
LCM(6883,6887) = 68831 × 711 × 971
LCM(6883,6887) = 47403221
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