What is the Least Common Multiple of 11424 and 11438?

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 11424 and 11438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11424 and 11438, than apply into the LCM equation.

GCF(11424,11438) = 14
LCM(11424,11438) = ( 11424 × 11438) / 14
LCM(11424,11438) = 130667712 / 14
LCM(11424,11438) = 9333408

Least Common Multiple (LCM) of 11424 and 11438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11424 and 11438. First we will calculate the prime factors of 11424 and 11438.

Prime Factorization of 11424

Prime Factorization of 11438

Now multiplying the highest exponent prime factors to calculate the LCM of 11424 and 11438.

LCM(11424,11438) = 2⁵ × 3¹ × 7¹ × 17¹ × 19¹ × 43¹
LCM(11424,11438) = 9333408