What is the Least Common Multiple of 17824 and 17840?

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 17824 and 17840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17824 and 17840, than apply into the LCM equation.

GCF(17824,17840) = 16
LCM(17824,17840) = ( 17824 × 17840) / 16
LCM(17824,17840) = 317980160 / 16
LCM(17824,17840) = 19873760

Least Common Multiple (LCM) of 17824 and 17840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17824 and 17840. First we will calculate the prime factors of 17824 and 17840.

Prime Factorization of 17824

Prime Factorization of 17840

Now multiplying the highest exponent prime factors to calculate the LCM of 17824 and 17840.

LCM(17824,17840) = 2⁵ × 557¹ × 5¹ × 223¹
LCM(17824,17840) = 19873760