What is the Least Common Multiple of 26424 and 26442?

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 26424 and 26442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26424 and 26442, than apply into the LCM equation.

GCF(26424,26442) = 18
LCM(26424,26442) = ( 26424 × 26442) / 18
LCM(26424,26442) = 698703408 / 18
LCM(26424,26442) = 38816856

Least Common Multiple (LCM) of 26424 and 26442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26424 and 26442. First we will calculate the prime factors of 26424 and 26442.

Prime Factorization of 26424

Prime Factorization of 26442

Now multiplying the highest exponent prime factors to calculate the LCM of 26424 and 26442.

LCM(26424,26442) = 2³ × 3² × 367¹ × 13¹ × 113¹
LCM(26424,26442) = 38816856