What is the Least Common Multiple of 8647 and 8659?
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 8647 and 8659 is 74874373.
LCM(8647,8659) = 74874373
Least Common Multiple of 8647 and 8659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8647 and 8659, than apply into the LCM equation.
GCF(8647,8659) = 1
LCM(8647,8659) = ( 8647 × 8659) / 1
LCM(8647,8659) = 74874373 / 1
LCM(8647,8659) = 74874373
Least Common Multiple (LCM) of 8647 and 8659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8647 and 8659. First we will calculate the prime factors of 8647 and 8659.
Prime Factorization of 8647
Prime factors of 8647 are 8647. Prime factorization of 8647 in exponential form is:
8647 = 86471
Prime Factorization of 8659
Prime factors of 8659 are 7, 1237. Prime factorization of 8659 in exponential form is:
8659 = 71 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 8647 and 8659.
LCM(8647,8659) = 86471 × 71 × 12371
LCM(8647,8659) = 74874373
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