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What is the Least Common Multiple of 18424 and 18438?

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 (LCM) of 18424 and 18438 is 24264408.

LCM(18424,18438) = 24264408

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Least Common Multiple of 18424 and 18438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18424 and 18438, than apply into the LCM equation.

GCF(18424,18438) = 14
LCM(18424,18438) = ( 18424 × 18438) / 14
LCM(18424,18438) = 339701712 / 14
LCM(18424,18438) = 24264408

Least Common Multiple (LCM) of 18424 and 18438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18424 and 18438. First we will calculate the prime factors of 18424 and 18438.

Prime Factorization of 18424

Prime factors of 18424 are 2, 7, 47. Prime factorization of 18424 in exponential form is:

18424 = 23 × 72 × 471

Prime Factorization of 18438

Prime factors of 18438 are 2, 3, 7, 439. Prime factorization of 18438 in exponential form is:

18438 = 21 × 31 × 71 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 18424 and 18438.

LCM(18424,18438) = 23 × 72 × 471 × 31 × 4391
LCM(18424,18438) = 24264408