What is the Least Common Multiple of 65309 and 65317?
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 65309 and 65317 is 4265787953.
LCM(65309,65317) = 4265787953
Least Common Multiple of 65309 and 65317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65309 and 65317, than apply into the LCM equation.
GCF(65309,65317) = 1
LCM(65309,65317) = ( 65309 × 65317) / 1
LCM(65309,65317) = 4265787953 / 1
LCM(65309,65317) = 4265787953
Least Common Multiple (LCM) of 65309 and 65317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65309 and 65317. First we will calculate the prime factors of 65309 and 65317.
Prime Factorization of 65309
Prime factors of 65309 are 65309. Prime factorization of 65309 in exponential form is:
65309 = 653091
Prime Factorization of 65317
Prime factors of 65317 are 7, 31, 43. Prime factorization of 65317 in exponential form is:
65317 = 72 × 311 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 65309 and 65317.
LCM(65309,65317) = 653091 × 72 × 311 × 431
LCM(65309,65317) = 4265787953
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