What is the Least Common Multiple of 41767 and 41773?
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 41767 and 41773 is 1744732891.
LCM(41767,41773) = 1744732891
Least Common Multiple of 41767 and 41773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41767 and 41773, than apply into the LCM equation.
GCF(41767,41773) = 1
LCM(41767,41773) = ( 41767 × 41773) / 1
LCM(41767,41773) = 1744732891 / 1
LCM(41767,41773) = 1744732891
Least Common Multiple (LCM) of 41767 and 41773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41767 and 41773. First we will calculate the prime factors of 41767 and 41773.
Prime Factorization of 41767
Prime factors of 41767 are 11, 3797. Prime factorization of 41767 in exponential form is:
41767 = 111 × 37971
Prime Factorization of 41773
Prime factors of 41773 are 37, 1129. Prime factorization of 41773 in exponential form is:
41773 = 371 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 41767 and 41773.
LCM(41767,41773) = 111 × 37971 × 371 × 11291
LCM(41767,41773) = 1744732891
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