What is the Least Common Multiple of 39404 and 39424?

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 39404 and 39424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39404 and 39424, than apply into the LCM equation.

GCF(39404,39424) = 4
LCM(39404,39424) = ( 39404 × 39424) / 4
LCM(39404,39424) = 1553463296 / 4
LCM(39404,39424) = 388365824

Least Common Multiple (LCM) of 39404 and 39424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39404 and 39424. First we will calculate the prime factors of 39404 and 39424.

Prime Factorization of 39404

Prime Factorization of 39424

Now multiplying the highest exponent prime factors to calculate the LCM of 39404 and 39424.

LCM(39404,39424) = 2⁹ × 9851¹ × 7¹ × 11¹
LCM(39404,39424) = 388365824