What is the Least Common Multiple of 95386 and 95391?
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 95386 and 95391 is 9098965926.
LCM(95386,95391) = 9098965926
Least Common Multiple of 95386 and 95391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95386 and 95391, than apply into the LCM equation.
GCF(95386,95391) = 1
LCM(95386,95391) = ( 95386 × 95391) / 1
LCM(95386,95391) = 9098965926 / 1
LCM(95386,95391) = 9098965926
Least Common Multiple (LCM) of 95386 and 95391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95386 and 95391. First we will calculate the prime factors of 95386 and 95391.
Prime Factorization of 95386
Prime factors of 95386 are 2, 37, 1289. Prime factorization of 95386 in exponential form is:
95386 = 21 × 371 × 12891
Prime Factorization of 95391
Prime factors of 95391 are 3, 3533. Prime factorization of 95391 in exponential form is:
95391 = 33 × 35331
Now multiplying the highest exponent prime factors to calculate the LCM of 95386 and 95391.
LCM(95386,95391) = 21 × 371 × 12891 × 33 × 35331
LCM(95386,95391) = 9098965926
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