What is the Least Common Multiple of 20318 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 20318 and 20337 is 413207166.
LCM(20318,20337) = 413207166
Least Common Multiple of 20318 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 20318 and 20337, than apply into the LCM equation.
GCF(20318,20337) = 1
LCM(20318,20337) = ( 20318 × 20337) / 1
LCM(20318,20337) = 413207166 / 1
LCM(20318,20337) = 413207166
Least Common Multiple (LCM) of 20318 and 20337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20318 and 20337. First we will calculate the prime factors of 20318 and 20337.
Prime Factorization of 20318
Prime factors of 20318 are 2, 10159. Prime factorization of 20318 in exponential form is:
20318 = 21 × 101591
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 20318 and 20337.
LCM(20318,20337) = 21 × 101591 × 31 × 67791
LCM(20318,20337) = 413207166
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