What is the Least Common Multiple of 81886 and 81891?
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 81886 and 81891 is 6705726426.
LCM(81886,81891) = 6705726426
Least Common Multiple of 81886 and 81891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81886 and 81891, than apply into the LCM equation.
GCF(81886,81891) = 1
LCM(81886,81891) = ( 81886 × 81891) / 1
LCM(81886,81891) = 6705726426 / 1
LCM(81886,81891) = 6705726426
Least Common Multiple (LCM) of 81886 and 81891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81886 and 81891. First we will calculate the prime factors of 81886 and 81891.
Prime Factorization of 81886
Prime factors of 81886 are 2, 7, 5849. Prime factorization of 81886 in exponential form is:
81886 = 21 × 71 × 58491
Prime Factorization of 81891
Prime factors of 81891 are 3, 337. Prime factorization of 81891 in exponential form is:
81891 = 35 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 81886 and 81891.
LCM(81886,81891) = 21 × 71 × 58491 × 35 × 3371
LCM(81886,81891) = 6705726426
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