What is the Least Common Multiple of 11783 and 11791?
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 11783 and 11791 is 138933353.
LCM(11783,11791) = 138933353
Least Common Multiple of 11783 and 11791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11783 and 11791, than apply into the LCM equation.
GCF(11783,11791) = 1
LCM(11783,11791) = ( 11783 × 11791) / 1
LCM(11783,11791) = 138933353 / 1
LCM(11783,11791) = 138933353
Least Common Multiple (LCM) of 11783 and 11791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11783 and 11791. First we will calculate the prime factors of 11783 and 11791.
Prime Factorization of 11783
Prime factors of 11783 are 11783. Prime factorization of 11783 in exponential form is:
11783 = 117831
Prime Factorization of 11791
Prime factors of 11791 are 13, 907. Prime factorization of 11791 in exponential form is:
11791 = 131 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 11783 and 11791.
LCM(11783,11791) = 117831 × 131 × 9071
LCM(11783,11791) = 138933353
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