What is the Least Common Multiple of 8491 and 8509?
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 8491 and 8509 is 72249919.
LCM(8491,8509) = 72249919
Least Common Multiple of 8491 and 8509 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8491 and 8509, than apply into the LCM equation.
GCF(8491,8509) = 1
LCM(8491,8509) = ( 8491 × 8509) / 1
LCM(8491,8509) = 72249919 / 1
LCM(8491,8509) = 72249919
Least Common Multiple (LCM) of 8491 and 8509 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8491 and 8509. First we will calculate the prime factors of 8491 and 8509.
Prime Factorization of 8491
Prime factors of 8491 are 7, 1213. Prime factorization of 8491 in exponential form is:
8491 = 71 × 12131
Prime Factorization of 8509
Prime factors of 8509 are 67, 127. Prime factorization of 8509 in exponential form is:
8509 = 671 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 8491 and 8509.
LCM(8491,8509) = 71 × 12131 × 671 × 1271
LCM(8491,8509) = 72249919
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