What is the Least Common Multiple of 1378 and 1394?

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 1378 and 1394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1378 and 1394, than apply into the LCM equation.

GCF(1378,1394) = 2
LCM(1378,1394) = ( 1378 × 1394) / 2
LCM(1378,1394) = 1920932 / 2
LCM(1378,1394) = 960466

Least Common Multiple (LCM) of 1378 and 1394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1378 and 1394. First we will calculate the prime factors of 1378 and 1394.

Prime Factorization of 1378

Prime Factorization of 1394

Now multiplying the highest exponent prime factors to calculate the LCM of 1378 and 1394.

LCM(1378,1394) = 2¹ × 13¹ × 53¹ × 17¹ × 41¹
LCM(1378,1394) = 960466