What is the Least Common Multiple of 65783 and 65791?
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 65783 and 65791 is 4327929353.
LCM(65783,65791) = 4327929353
Least Common Multiple of 65783 and 65791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65783 and 65791, than apply into the LCM equation.
GCF(65783,65791) = 1
LCM(65783,65791) = ( 65783 × 65791) / 1
LCM(65783,65791) = 4327929353 / 1
LCM(65783,65791) = 4327929353
Least Common Multiple (LCM) of 65783 and 65791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65783 and 65791. First we will calculate the prime factors of 65783 and 65791.
Prime Factorization of 65783
Prime factors of 65783 are 157, 419. Prime factorization of 65783 in exponential form is:
65783 = 1571 × 4191
Prime Factorization of 65791
Prime factors of 65791 are 11, 5981. Prime factorization of 65791 in exponential form is:
65791 = 111 × 59811
Now multiplying the highest exponent prime factors to calculate the LCM of 65783 and 65791.
LCM(65783,65791) = 1571 × 4191 × 111 × 59811
LCM(65783,65791) = 4327929353
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