What is the Least Common Multiple of 8517 and 8528?
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 8517 and 8528 is 72632976.
LCM(8517,8528) = 72632976
Least Common Multiple of 8517 and 8528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8517 and 8528, than apply into the LCM equation.
GCF(8517,8528) = 1
LCM(8517,8528) = ( 8517 × 8528) / 1
LCM(8517,8528) = 72632976 / 1
LCM(8517,8528) = 72632976
Least Common Multiple (LCM) of 8517 and 8528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8517 and 8528. First we will calculate the prime factors of 8517 and 8528.
Prime Factorization of 8517
Prime factors of 8517 are 3, 17, 167. Prime factorization of 8517 in exponential form is:
8517 = 31 × 171 × 1671
Prime Factorization of 8528
Prime factors of 8528 are 2, 13, 41. Prime factorization of 8528 in exponential form is:
8528 = 24 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 8517 and 8528.
LCM(8517,8528) = 31 × 171 × 1671 × 24 × 131 × 411
LCM(8517,8528) = 72632976
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