What is the Least Common Multiple of 20317 and 20337?
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 20317 and 20337 is 413186829.
LCM(20317,20337) = 413186829
Least Common Multiple of 20317 and 20337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20317 and 20337, than apply into the LCM equation.
GCF(20317,20337) = 1
LCM(20317,20337) = ( 20317 × 20337) / 1
LCM(20317,20337) = 413186829 / 1
LCM(20317,20337) = 413186829
Least Common Multiple (LCM) of 20317 and 20337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20317 and 20337. First we will calculate the prime factors of 20317 and 20337.
Prime Factorization of 20317
Prime factors of 20317 are 11, 1847. Prime factorization of 20317 in exponential form is:
20317 = 111 × 18471
Prime Factorization of 20337
Prime factors of 20337 are 3, 6779. Prime factorization of 20337 in exponential form is:
20337 = 31 × 67791
Now multiplying the highest exponent prime factors to calculate the LCM of 20317 and 20337.
LCM(20317,20337) = 111 × 18471 × 31 × 67791
LCM(20317,20337) = 413186829
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