What is the Least Common Multiple of 5765 and 5781?
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 5765 and 5781 is 33327465.
LCM(5765,5781) = 33327465
Least Common Multiple of 5765 and 5781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5765 and 5781, than apply into the LCM equation.
GCF(5765,5781) = 1
LCM(5765,5781) = ( 5765 × 5781) / 1
LCM(5765,5781) = 33327465 / 1
LCM(5765,5781) = 33327465
Least Common Multiple (LCM) of 5765 and 5781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5765 and 5781. First we will calculate the prime factors of 5765 and 5781.
Prime Factorization of 5765
Prime factors of 5765 are 5, 1153. Prime factorization of 5765 in exponential form is:
5765 = 51 × 11531
Prime Factorization of 5781
Prime factors of 5781 are 3, 41, 47. Prime factorization of 5781 in exponential form is:
5781 = 31 × 411 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 5765 and 5781.
LCM(5765,5781) = 51 × 11531 × 31 × 411 × 471
LCM(5765,5781) = 33327465
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