What is the Least Common Multiple of 39424 and 39438?

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 39438 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 39438, than apply into the LCM equation.

GCF(39424,39438) = 14
LCM(39424,39438) = ( 39424 × 39438) / 14
LCM(39424,39438) = 1554803712 / 14
LCM(39424,39438) = 111057408

Least Common Multiple (LCM) of 39424 and 39438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39424 and 39438. First we will calculate the prime factors of 39424 and 39438.

Prime Factorization of 39424

Prime Factorization of 39438

Now multiplying the highest exponent prime factors to calculate the LCM of 39424 and 39438.

LCM(39424,39438) = 2⁹ × 7¹ × 11¹ × 3² × 313¹
LCM(39424,39438) = 111057408