What is the Least Common Multiple of 8476 and 8491?
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 8476 and 8491 is 71969716.
LCM(8476,8491) = 71969716
Least Common Multiple of 8476 and 8491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8476 and 8491, than apply into the LCM equation.
GCF(8476,8491) = 1
LCM(8476,8491) = ( 8476 × 8491) / 1
LCM(8476,8491) = 71969716 / 1
LCM(8476,8491) = 71969716
Least Common Multiple (LCM) of 8476 and 8491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8476 and 8491. First we will calculate the prime factors of 8476 and 8491.
Prime Factorization of 8476
Prime factors of 8476 are 2, 13, 163. Prime factorization of 8476 in exponential form is:
8476 = 22 × 131 × 1631
Prime Factorization of 8491
Prime factors of 8491 are 7, 1213. Prime factorization of 8491 in exponential form is:
8491 = 71 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 8476 and 8491.
LCM(8476,8491) = 22 × 131 × 1631 × 71 × 12131
LCM(8476,8491) = 71969716
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