What is the Least Common Multiple of 28405 and 28424?

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 28405 and 28424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28405 and 28424, than apply into the LCM equation.

GCF(28405,28424) = 19
LCM(28405,28424) = ( 28405 × 28424) / 19
LCM(28405,28424) = 807383720 / 19
LCM(28405,28424) = 42493880

Least Common Multiple (LCM) of 28405 and 28424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28405 and 28424. First we will calculate the prime factors of 28405 and 28424.

Prime Factorization of 28405

Prime Factorization of 28424

Now multiplying the highest exponent prime factors to calculate the LCM of 28405 and 28424.

LCM(28405,28424) = 5¹ × 13¹ × 19¹ × 23¹ × 2³ × 11¹ × 17¹
LCM(28405,28424) = 42493880