What is the Least Common Multiple of 39424 and 39442?

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 39424 and 39442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39424 and 39442, than apply into the LCM equation.

GCF(39424,39442) = 2
LCM(39424,39442) = ( 39424 × 39442) / 2
LCM(39424,39442) = 1554961408 / 2
LCM(39424,39442) = 777480704

Least Common Multiple (LCM) of 39424 and 39442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39424 and 39442. First we will calculate the prime factors of 39424 and 39442.

Prime Factorization of 39424

Prime Factorization of 39442

Now multiplying the highest exponent prime factors to calculate the LCM of 39424 and 39442.

LCM(39424,39442) = 2⁹ × 7¹ × 11¹ × 13¹ × 37¹ × 41¹
LCM(39424,39442) = 777480704