What is the Least Common Multiple of 48871 and 48878?
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 48871 and 48878 is 2388716738.
LCM(48871,48878) = 2388716738
Least Common Multiple of 48871 and 48878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48871 and 48878, than apply into the LCM equation.
GCF(48871,48878) = 1
LCM(48871,48878) = ( 48871 × 48878) / 1
LCM(48871,48878) = 2388716738 / 1
LCM(48871,48878) = 2388716738
Least Common Multiple (LCM) of 48871 and 48878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48871 and 48878. First we will calculate the prime factors of 48871 and 48878.
Prime Factorization of 48871
Prime factors of 48871 are 48871. Prime factorization of 48871 in exponential form is:
48871 = 488711
Prime Factorization of 48878
Prime factors of 48878 are 2, 24439. Prime factorization of 48878 in exponential form is:
48878 = 21 × 244391
Now multiplying the highest exponent prime factors to calculate the LCM of 48871 and 48878.
LCM(48871,48878) = 488711 × 21 × 244391
LCM(48871,48878) = 2388716738
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