What is the Least Common Multiple of 65565 and 65581?
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 65565 and 65581 is 4299818265.
LCM(65565,65581) = 4299818265
Least Common Multiple of 65565 and 65581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65565 and 65581, than apply into the LCM equation.
GCF(65565,65581) = 1
LCM(65565,65581) = ( 65565 × 65581) / 1
LCM(65565,65581) = 4299818265 / 1
LCM(65565,65581) = 4299818265
Least Common Multiple (LCM) of 65565 and 65581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65565 and 65581. First we will calculate the prime factors of 65565 and 65581.
Prime Factorization of 65565
Prime factors of 65565 are 3, 5, 31, 47. Prime factorization of 65565 in exponential form is:
65565 = 32 × 51 × 311 × 471
Prime Factorization of 65581
Prime factors of 65581 are 65581. Prime factorization of 65581 in exponential form is:
65581 = 655811
Now multiplying the highest exponent prime factors to calculate the LCM of 65565 and 65581.
LCM(65565,65581) = 32 × 51 × 311 × 471 × 655811
LCM(65565,65581) = 4299818265
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