What is the Least Common Multiple of 41333 and 41353?
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 41333 and 41353 is 1709243549.
LCM(41333,41353) = 1709243549
Least Common Multiple of 41333 and 41353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41333 and 41353, than apply into the LCM equation.
GCF(41333,41353) = 1
LCM(41333,41353) = ( 41333 × 41353) / 1
LCM(41333,41353) = 1709243549 / 1
LCM(41333,41353) = 1709243549
Least Common Multiple (LCM) of 41333 and 41353 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41333 and 41353. First we will calculate the prime factors of 41333 and 41353.
Prime Factorization of 41333
Prime factors of 41333 are 41333. Prime factorization of 41333 in exponential form is:
41333 = 413331
Prime Factorization of 41353
Prime factors of 41353 are 13, 3181. Prime factorization of 41353 in exponential form is:
41353 = 131 × 31811
Now multiplying the highest exponent prime factors to calculate the LCM of 41333 and 41353.
LCM(41333,41353) = 413331 × 131 × 31811
LCM(41333,41353) = 1709243549
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