What is the Least Common Multiple of 7378 and 7394?

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 7378 and 7394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7378 and 7394, than apply into the LCM equation.

GCF(7378,7394) = 2
LCM(7378,7394) = ( 7378 × 7394) / 2
LCM(7378,7394) = 54552932 / 2
LCM(7378,7394) = 27276466

Least Common Multiple (LCM) of 7378 and 7394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7378 and 7394. First we will calculate the prime factors of 7378 and 7394.

Prime Factorization of 7378

Prime Factorization of 7394

Now multiplying the highest exponent prime factors to calculate the LCM of 7378 and 7394.

LCM(7378,7394) = 2¹ × 7¹ × 17¹ × 31¹ × 3697¹
LCM(7378,7394) = 27276466