What is the Least Common Multiple of 13424 and 13442?

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 13424 and 13442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13424 and 13442, than apply into the LCM equation.

GCF(13424,13442) = 2
LCM(13424,13442) = ( 13424 × 13442) / 2
LCM(13424,13442) = 180445408 / 2
LCM(13424,13442) = 90222704

Least Common Multiple (LCM) of 13424 and 13442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13424 and 13442. First we will calculate the prime factors of 13424 and 13442.

Prime Factorization of 13424

Prime Factorization of 13442

Now multiplying the highest exponent prime factors to calculate the LCM of 13424 and 13442.

LCM(13424,13442) = 2⁴ × 839¹ × 11¹ × 13¹ × 47¹
LCM(13424,13442) = 90222704