What is the Least Common Multiple of 23408 and 23424?

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 23408 and 23424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23408 and 23424, than apply into the LCM equation.

GCF(23408,23424) = 16
LCM(23408,23424) = ( 23408 × 23424) / 16
LCM(23408,23424) = 548308992 / 16
LCM(23408,23424) = 34269312

Least Common Multiple (LCM) of 23408 and 23424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23408 and 23424. First we will calculate the prime factors of 23408 and 23424.

Prime Factorization of 23408

Prime Factorization of 23424

Now multiplying the highest exponent prime factors to calculate the LCM of 23408 and 23424.

LCM(23408,23424) = 2⁷ × 7¹ × 11¹ × 19¹ × 3¹ × 61¹
LCM(23408,23424) = 34269312