What is the Least Common Multiple of 41577 and 41581?
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 41577 and 41581 is 1728813237.
LCM(41577,41581) = 1728813237
Least Common Multiple of 41577 and 41581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41577 and 41581, than apply into the LCM equation.
GCF(41577,41581) = 1
LCM(41577,41581) = ( 41577 × 41581) / 1
LCM(41577,41581) = 1728813237 / 1
LCM(41577,41581) = 1728813237
Least Common Multiple (LCM) of 41577 and 41581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41577 and 41581. First we will calculate the prime factors of 41577 and 41581.
Prime Factorization of 41577
Prime factors of 41577 are 3, 13859. Prime factorization of 41577 in exponential form is:
41577 = 31 × 138591
Prime Factorization of 41581
Prime factors of 41581 are 43, 967. Prime factorization of 41581 in exponential form is:
41581 = 431 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 41577 and 41581.
LCM(41577,41581) = 31 × 138591 × 431 × 9671
LCM(41577,41581) = 1728813237
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