What is the Least Common Multiple of 41771 and 41791?
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 41771 and 41791 is 1745651861.
LCM(41771,41791) = 1745651861
Least Common Multiple of 41771 and 41791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41771 and 41791, than apply into the LCM equation.
GCF(41771,41791) = 1
LCM(41771,41791) = ( 41771 × 41791) / 1
LCM(41771,41791) = 1745651861 / 1
LCM(41771,41791) = 1745651861
Least Common Multiple (LCM) of 41771 and 41791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41771 and 41791. First we will calculate the prime factors of 41771 and 41791.
Prime Factorization of 41771
Prime factors of 41771 are 41771. Prime factorization of 41771 in exponential form is:
41771 = 417711
Prime Factorization of 41791
Prime factors of 41791 are 23, 79. Prime factorization of 41791 in exponential form is:
41791 = 232 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 41771 and 41791.
LCM(41771,41791) = 417711 × 232 × 791
LCM(41771,41791) = 1745651861
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