What is the Least Common Multiple of 91771 and 91786?
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 91771 and 91786 is 8423293006.
LCM(91771,91786) = 8423293006
Least Common Multiple of 91771 and 91786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91771 and 91786, than apply into the LCM equation.
GCF(91771,91786) = 1
LCM(91771,91786) = ( 91771 × 91786) / 1
LCM(91771,91786) = 8423293006 / 1
LCM(91771,91786) = 8423293006
Least Common Multiple (LCM) of 91771 and 91786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91771 and 91786. First we will calculate the prime factors of 91771 and 91786.
Prime Factorization of 91771
Prime factors of 91771 are 91771. Prime factorization of 91771 in exponential form is:
91771 = 917711
Prime Factorization of 91786
Prime factors of 91786 are 2, 45893. Prime factorization of 91786 in exponential form is:
91786 = 21 × 458931
Now multiplying the highest exponent prime factors to calculate the LCM of 91771 and 91786.
LCM(91771,91786) = 917711 × 21 × 458931
LCM(91771,91786) = 8423293006
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