What is the Least Common Multiple of 95871 and 95878?
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 95871 and 95878 is 9191919738.
LCM(95871,95878) = 9191919738
Least Common Multiple of 95871 and 95878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95871 and 95878, than apply into the LCM equation.
GCF(95871,95878) = 1
LCM(95871,95878) = ( 95871 × 95878) / 1
LCM(95871,95878) = 9191919738 / 1
LCM(95871,95878) = 9191919738
Least Common Multiple (LCM) of 95871 and 95878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95871 and 95878. First we will calculate the prime factors of 95871 and 95878.
Prime Factorization of 95871
Prime factors of 95871 are 3, 31957. Prime factorization of 95871 in exponential form is:
95871 = 31 × 319571
Prime Factorization of 95878
Prime factors of 95878 are 2, 47939. Prime factorization of 95878 in exponential form is:
95878 = 21 × 479391
Now multiplying the highest exponent prime factors to calculate the LCM of 95871 and 95878.
LCM(95871,95878) = 31 × 319571 × 21 × 479391
LCM(95871,95878) = 9191919738
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