What is the Least Common Multiple of 47886 and 47891?
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 47886 and 47891 is 2293308426.
LCM(47886,47891) = 2293308426
Least Common Multiple of 47886 and 47891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47886 and 47891, than apply into the LCM equation.
GCF(47886,47891) = 1
LCM(47886,47891) = ( 47886 × 47891) / 1
LCM(47886,47891) = 2293308426 / 1
LCM(47886,47891) = 2293308426
Least Common Multiple (LCM) of 47886 and 47891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47886 and 47891. First we will calculate the prime factors of 47886 and 47891.
Prime Factorization of 47886
Prime factors of 47886 are 2, 3, 23, 347. Prime factorization of 47886 in exponential form is:
47886 = 21 × 31 × 231 × 3471
Prime Factorization of 47891
Prime factors of 47891 are 83, 577. Prime factorization of 47891 in exponential form is:
47891 = 831 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 47886 and 47891.
LCM(47886,47891) = 21 × 31 × 231 × 3471 × 831 × 5771
LCM(47886,47891) = 2293308426
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