What is the Least Common Multiple of 14704 and 14720?

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 14704 and 14720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14704 and 14720, than apply into the LCM equation.

GCF(14704,14720) = 16
LCM(14704,14720) = ( 14704 × 14720) / 16
LCM(14704,14720) = 216442880 / 16
LCM(14704,14720) = 13527680

Least Common Multiple (LCM) of 14704 and 14720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14704 and 14720. First we will calculate the prime factors of 14704 and 14720.

Prime Factorization of 14704

Prime Factorization of 14720

Now multiplying the highest exponent prime factors to calculate the LCM of 14704 and 14720.

LCM(14704,14720) = 2⁷ × 919¹ × 5¹ × 23¹
LCM(14704,14720) = 13527680