What is the Least Common Multiple of 78424 and 78438?

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 78424 and 78438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78424 and 78438, than apply into the LCM equation.

GCF(78424,78438) = 2
LCM(78424,78438) = ( 78424 × 78438) / 2
LCM(78424,78438) = 6151421712 / 2
LCM(78424,78438) = 3075710856

Least Common Multiple (LCM) of 78424 and 78438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78424 and 78438. First we will calculate the prime factors of 78424 and 78438.

Prime Factorization of 78424

Prime Factorization of 78438

Now multiplying the highest exponent prime factors to calculate the LCM of 78424 and 78438.

LCM(78424,78438) = 2³ × 9803¹ × 3¹ × 17¹ × 769¹
LCM(78424,78438) = 3075710856