What is the Least Common Multiple of 8497 and 8514?
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 8497 and 8514 is 72343458.
LCM(8497,8514) = 72343458
Least Common Multiple of 8497 and 8514 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8497 and 8514, than apply into the LCM equation.
GCF(8497,8514) = 1
LCM(8497,8514) = ( 8497 × 8514) / 1
LCM(8497,8514) = 72343458 / 1
LCM(8497,8514) = 72343458
Least Common Multiple (LCM) of 8497 and 8514 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8497 and 8514. First we will calculate the prime factors of 8497 and 8514.
Prime Factorization of 8497
Prime factors of 8497 are 29, 293. Prime factorization of 8497 in exponential form is:
8497 = 291 × 2931
Prime Factorization of 8514
Prime factors of 8514 are 2, 3, 11, 43. Prime factorization of 8514 in exponential form is:
8514 = 21 × 32 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 8497 and 8514.
LCM(8497,8514) = 291 × 2931 × 21 × 32 × 111 × 431
LCM(8497,8514) = 72343458
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