What is the Least Common Multiple of 95857 and 95862?
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 95857 and 95862 is 9189043734.
LCM(95857,95862) = 9189043734
Least Common Multiple of 95857 and 95862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95857 and 95862, than apply into the LCM equation.
GCF(95857,95862) = 1
LCM(95857,95862) = ( 95857 × 95862) / 1
LCM(95857,95862) = 9189043734 / 1
LCM(95857,95862) = 9189043734
Least Common Multiple (LCM) of 95857 and 95862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95857 and 95862. First we will calculate the prime factors of 95857 and 95862.
Prime Factorization of 95857
Prime factors of 95857 are 95857. Prime factorization of 95857 in exponential form is:
95857 = 958571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 95857 and 95862.
LCM(95857,95862) = 958571 × 21 × 31 × 131 × 12291
LCM(95857,95862) = 9189043734
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