What is the Least Common Multiple of 48886 and 48891?
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 48886 and 48891 is 2390085426.
LCM(48886,48891) = 2390085426
Least Common Multiple of 48886 and 48891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48886 and 48891, than apply into the LCM equation.
GCF(48886,48891) = 1
LCM(48886,48891) = ( 48886 × 48891) / 1
LCM(48886,48891) = 2390085426 / 1
LCM(48886,48891) = 2390085426
Least Common Multiple (LCM) of 48886 and 48891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48886 and 48891. First we will calculate the prime factors of 48886 and 48891.
Prime Factorization of 48886
Prime factors of 48886 are 2, 24443. Prime factorization of 48886 in exponential form is:
48886 = 21 × 244431
Prime Factorization of 48891
Prime factors of 48891 are 3, 43, 379. Prime factorization of 48891 in exponential form is:
48891 = 31 × 431 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 48886 and 48891.
LCM(48886,48891) = 21 × 244431 × 31 × 431 × 3791
LCM(48886,48891) = 2390085426
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