What is the Least Common Multiple of 95843 and 95853?
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 95843 and 95853 is 9186839079.
LCM(95843,95853) = 9186839079
Least Common Multiple of 95843 and 95853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95843 and 95853, than apply into the LCM equation.
GCF(95843,95853) = 1
LCM(95843,95853) = ( 95843 × 95853) / 1
LCM(95843,95853) = 9186839079 / 1
LCM(95843,95853) = 9186839079
Least Common Multiple (LCM) of 95843 and 95853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95843 and 95853. First we will calculate the prime factors of 95843 and 95853.
Prime Factorization of 95843
Prime factors of 95843 are 11, 8713. Prime factorization of 95843 in exponential form is:
95843 = 111 × 87131
Prime Factorization of 95853
Prime factors of 95853 are 3, 89, 359. Prime factorization of 95853 in exponential form is:
95853 = 31 × 891 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 95843 and 95853.
LCM(95843,95853) = 111 × 87131 × 31 × 891 × 3591
LCM(95843,95853) = 9186839079
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