What is the Least Common Multiple of 65497 and 65511?
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 65497 and 65511 is 4290773967.
LCM(65497,65511) = 4290773967
Least Common Multiple of 65497 and 65511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65497 and 65511, than apply into the LCM equation.
GCF(65497,65511) = 1
LCM(65497,65511) = ( 65497 × 65511) / 1
LCM(65497,65511) = 4290773967 / 1
LCM(65497,65511) = 4290773967
Least Common Multiple (LCM) of 65497 and 65511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65497 and 65511. First we will calculate the prime factors of 65497 and 65511.
Prime Factorization of 65497
Prime factors of 65497 are 65497. Prime factorization of 65497 in exponential form is:
65497 = 654971
Prime Factorization of 65511
Prime factors of 65511 are 3, 29, 251. Prime factorization of 65511 in exponential form is:
65511 = 32 × 291 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 65497 and 65511.
LCM(65497,65511) = 654971 × 32 × 291 × 2511
LCM(65497,65511) = 4290773967
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