What is the Least Common Multiple of 13703 and 13720?
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 13720 is 188005160.
LCM(13703,13720) = 188005160
Least Common Multiple of 13703 and 13720 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 13720, than apply into the LCM equation.
GCF(13703,13720) = 1
LCM(13703,13720) = ( 13703 × 13720) / 1
LCM(13703,13720) = 188005160 / 1
LCM(13703,13720) = 188005160
Least Common Multiple (LCM) of 13703 and 13720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13703 and 13720. First we will calculate the prime factors of 13703 and 13720.
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 13720
Prime factors of 13720 are 2, 5, 7. Prime factorization of 13720 in exponential form is:
13720 = 23 × 51 × 73
Now multiplying the highest exponent prime factors to calculate the LCM of 13703 and 13720.
LCM(13703,13720) = 711 × 1931 × 23 × 51 × 73
LCM(13703,13720) = 188005160
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