What is the Least Common Multiple of 20345 and 20349?
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 20345 and 20349 is 414000405.
LCM(20345,20349) = 414000405
Least Common Multiple of 20345 and 20349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20345 and 20349, than apply into the LCM equation.
GCF(20345,20349) = 1
LCM(20345,20349) = ( 20345 × 20349) / 1
LCM(20345,20349) = 414000405 / 1
LCM(20345,20349) = 414000405
Least Common Multiple (LCM) of 20345 and 20349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20345 and 20349. First we will calculate the prime factors of 20345 and 20349.
Prime Factorization of 20345
Prime factors of 20345 are 5, 13, 313. Prime factorization of 20345 in exponential form is:
20345 = 51 × 131 × 3131
Prime Factorization of 20349
Prime factors of 20349 are 3, 7, 17, 19. Prime factorization of 20349 in exponential form is:
20349 = 32 × 71 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 20345 and 20349.
LCM(20345,20349) = 51 × 131 × 3131 × 32 × 71 × 171 × 191
LCM(20345,20349) = 414000405
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