What is the Least Common Multiple of 13707 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 of 13707 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 13707 and 13720, than apply into the LCM equation.

GCF(13707,13720) = 1
LCM(13707,13720) = ( 13707 × 13720) / 1
LCM(13707,13720) = 188060040 / 1
LCM(13707,13720) = 188060040

Least Common Multiple (LCM) of 13707 and 13720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13707 and 13720. First we will calculate the prime factors of 13707 and 13720.

Prime Factorization of 13707

Prime Factorization of 13720

Now multiplying the highest exponent prime factors to calculate the LCM of 13707 and 13720.

LCM(13707,13720) = 3² × 1523¹ × 2³ × 5¹ × 7³
LCM(13707,13720) = 188060040