What is the Least Common Multiple of 13673 and 13687?
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 13673 and 13687 is 187142351.
LCM(13673,13687) = 187142351
Least Common Multiple of 13673 and 13687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13673 and 13687, than apply into the LCM equation.
GCF(13673,13687) = 1
LCM(13673,13687) = ( 13673 × 13687) / 1
LCM(13673,13687) = 187142351 / 1
LCM(13673,13687) = 187142351
Least Common Multiple (LCM) of 13673 and 13687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13673 and 13687. First we will calculate the prime factors of 13673 and 13687.
Prime Factorization of 13673
Prime factors of 13673 are 11, 113. Prime factorization of 13673 in exponential form is:
13673 = 112 × 1131
Prime Factorization of 13687
Prime factors of 13687 are 13687. Prime factorization of 13687 in exponential form is:
13687 = 136871
Now multiplying the highest exponent prime factors to calculate the LCM of 13673 and 13687.
LCM(13673,13687) = 112 × 1131 × 136871
LCM(13673,13687) = 187142351
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