What is the Least Common Multiple of 14720 and 14740?

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 14720 and 14740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14720 and 14740, than apply into the LCM equation.

GCF(14720,14740) = 20
LCM(14720,14740) = ( 14720 × 14740) / 20
LCM(14720,14740) = 216972800 / 20
LCM(14720,14740) = 10848640

Least Common Multiple (LCM) of 14720 and 14740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14720 and 14740. First we will calculate the prime factors of 14720 and 14740.

Prime Factorization of 14720

Prime Factorization of 14740

Now multiplying the highest exponent prime factors to calculate the LCM of 14720 and 14740.

LCM(14720,14740) = 2⁷ × 5¹ × 23¹ × 11¹ × 67¹
LCM(14720,14740) = 10848640