What is the Least Common Multiple of 95818 and 95826?
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 95818 and 95826 is 4590927834.
LCM(95818,95826) = 4590927834
Least Common Multiple of 95818 and 95826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95818 and 95826, than apply into the LCM equation.
GCF(95818,95826) = 2
LCM(95818,95826) = ( 95818 × 95826) / 2
LCM(95818,95826) = 9181855668 / 2
LCM(95818,95826) = 4590927834
Least Common Multiple (LCM) of 95818 and 95826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95818 and 95826. First we will calculate the prime factors of 95818 and 95826.
Prime Factorization of 95818
Prime factors of 95818 are 2, 23, 2083. Prime factorization of 95818 in exponential form is:
95818 = 21 × 231 × 20831
Prime Factorization of 95826
Prime factors of 95826 are 2, 3, 15971. Prime factorization of 95826 in exponential form is:
95826 = 21 × 31 × 159711
Now multiplying the highest exponent prime factors to calculate the LCM of 95818 and 95826.
LCM(95818,95826) = 21 × 231 × 20831 × 31 × 159711
LCM(95818,95826) = 4590927834
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