What is the Least Common Multiple of 18408 and 18424?

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 18408 and 18424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18408 and 18424, than apply into the LCM equation.

GCF(18408,18424) = 8
LCM(18408,18424) = ( 18408 × 18424) / 8
LCM(18408,18424) = 339148992 / 8
LCM(18408,18424) = 42393624

Least Common Multiple (LCM) of 18408 and 18424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18408 and 18424. First we will calculate the prime factors of 18408 and 18424.

Prime Factorization of 18408

Prime Factorization of 18424

Now multiplying the highest exponent prime factors to calculate the LCM of 18408 and 18424.

LCM(18408,18424) = 2³ × 3¹ × 13¹ × 59¹ × 7² × 47¹
LCM(18408,18424) = 42393624