What is the Least Common Multiple of 41663 and 41669?
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 41663 and 41669 is 1736055547.
LCM(41663,41669) = 1736055547
Least Common Multiple of 41663 and 41669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41663 and 41669, than apply into the LCM equation.
GCF(41663,41669) = 1
LCM(41663,41669) = ( 41663 × 41669) / 1
LCM(41663,41669) = 1736055547 / 1
LCM(41663,41669) = 1736055547
Least Common Multiple (LCM) of 41663 and 41669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41663 and 41669. First we will calculate the prime factors of 41663 and 41669.
Prime Factorization of 41663
Prime factors of 41663 are 61, 683. Prime factorization of 41663 in exponential form is:
41663 = 611 × 6831
Prime Factorization of 41669
Prime factors of 41669 are 41669. Prime factorization of 41669 in exponential form is:
41669 = 416691
Now multiplying the highest exponent prime factors to calculate the LCM of 41663 and 41669.
LCM(41663,41669) = 611 × 6831 × 416691
LCM(41663,41669) = 1736055547
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