What is the Least Common Multiple of 5408 and 5424?

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 5408 and 5424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5408 and 5424, than apply into the LCM equation.

GCF(5408,5424) = 16
LCM(5408,5424) = ( 5408 × 5424) / 16
LCM(5408,5424) = 29332992 / 16
LCM(5408,5424) = 1833312

Least Common Multiple (LCM) of 5408 and 5424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5408 and 5424. First we will calculate the prime factors of 5408 and 5424.

Prime Factorization of 5408

Prime Factorization of 5424

Now multiplying the highest exponent prime factors to calculate the LCM of 5408 and 5424.

LCM(5408,5424) = 2⁵ × 13² × 3¹ × 113¹
LCM(5408,5424) = 1833312