What is the Least Common Multiple of 8686 and 8705?
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 8686 and 8705 is 75611630.
LCM(8686,8705) = 75611630
Least Common Multiple of 8686 and 8705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8686 and 8705, than apply into the LCM equation.
GCF(8686,8705) = 1
LCM(8686,8705) = ( 8686 × 8705) / 1
LCM(8686,8705) = 75611630 / 1
LCM(8686,8705) = 75611630
Least Common Multiple (LCM) of 8686 and 8705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8686 and 8705. First we will calculate the prime factors of 8686 and 8705.
Prime Factorization of 8686
Prime factors of 8686 are 2, 43, 101. Prime factorization of 8686 in exponential form is:
8686 = 21 × 431 × 1011
Prime Factorization of 8705
Prime factors of 8705 are 5, 1741. Prime factorization of 8705 in exponential form is:
8705 = 51 × 17411
Now multiplying the highest exponent prime factors to calculate the LCM of 8686 and 8705.
LCM(8686,8705) = 21 × 431 × 1011 × 51 × 17411
LCM(8686,8705) = 75611630
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