What is the Least Common Multiple of 95862 and 95881?
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 95862 and 95881 is 9191344422.
LCM(95862,95881) = 9191344422
Least Common Multiple of 95862 and 95881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95862 and 95881, than apply into the LCM equation.
GCF(95862,95881) = 1
LCM(95862,95881) = ( 95862 × 95881) / 1
LCM(95862,95881) = 9191344422 / 1
LCM(95862,95881) = 9191344422
Least Common Multiple (LCM) of 95862 and 95881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95862 and 95881. First we will calculate the prime factors of 95862 and 95881.
Prime Factorization of 95862
Prime factors of 95862 are 2, 3, 13, 1229. Prime factorization of 95862 in exponential form is:
95862 = 21 × 31 × 131 × 12291
Prime Factorization of 95881
Prime factors of 95881 are 95881. Prime factorization of 95881 in exponential form is:
95881 = 958811
Now multiplying the highest exponent prime factors to calculate the LCM of 95862 and 95881.
LCM(95862,95881) = 21 × 31 × 131 × 12291 × 958811
LCM(95862,95881) = 9191344422
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