What is the Least Common Multiple of 13703 and 13710?
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 13703 and 13710 is 187868130.
LCM(13703,13710) = 187868130
Least Common Multiple of 13703 and 13710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13703 and 13710, than apply into the LCM equation.
GCF(13703,13710) = 1
LCM(13703,13710) = ( 13703 × 13710) / 1
LCM(13703,13710) = 187868130 / 1
LCM(13703,13710) = 187868130
Least Common Multiple (LCM) of 13703 and 13710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13703 and 13710. First we will calculate the prime factors of 13703 and 13710.
Prime Factorization of 13703
Prime factors of 13703 are 71, 193. Prime factorization of 13703 in exponential form is:
13703 = 711 × 1931
Prime Factorization of 13710
Prime factors of 13710 are 2, 3, 5, 457. Prime factorization of 13710 in exponential form is:
13710 = 21 × 31 × 51 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 13703 and 13710.
LCM(13703,13710) = 711 × 1931 × 21 × 31 × 51 × 4571
LCM(13703,13710) = 187868130
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