What is the Least Common Multiple of 13809 and 13813?
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 13809 and 13813 is 190743717.
LCM(13809,13813) = 190743717
Least Common Multiple of 13809 and 13813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13809 and 13813, than apply into the LCM equation.
GCF(13809,13813) = 1
LCM(13809,13813) = ( 13809 × 13813) / 1
LCM(13809,13813) = 190743717 / 1
LCM(13809,13813) = 190743717
Least Common Multiple (LCM) of 13809 and 13813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13809 and 13813. First we will calculate the prime factors of 13809 and 13813.
Prime Factorization of 13809
Prime factors of 13809 are 3, 4603. Prime factorization of 13809 in exponential form is:
13809 = 31 × 46031
Prime Factorization of 13813
Prime factors of 13813 are 19, 727. Prime factorization of 13813 in exponential form is:
13813 = 191 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 13809 and 13813.
LCM(13809,13813) = 31 × 46031 × 191 × 7271
LCM(13809,13813) = 190743717
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