What is the Least Common Multiple of 8659 and 8665?
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 8659 and 8665 is 75030235.
LCM(8659,8665) = 75030235
Least Common Multiple of 8659 and 8665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8659 and 8665, than apply into the LCM equation.
GCF(8659,8665) = 1
LCM(8659,8665) = ( 8659 × 8665) / 1
LCM(8659,8665) = 75030235 / 1
LCM(8659,8665) = 75030235
Least Common Multiple (LCM) of 8659 and 8665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8659 and 8665. First we will calculate the prime factors of 8659 and 8665.
Prime Factorization of 8659
Prime factors of 8659 are 7, 1237. Prime factorization of 8659 in exponential form is:
8659 = 71 × 12371
Prime Factorization of 8665
Prime factors of 8665 are 5, 1733. Prime factorization of 8665 in exponential form is:
8665 = 51 × 17331
Now multiplying the highest exponent prime factors to calculate the LCM of 8659 and 8665.
LCM(8659,8665) = 71 × 12371 × 51 × 17331
LCM(8659,8665) = 75030235
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