What is the Least Common Multiple of 1378 and 1396?

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 1396 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 1396, than apply into the LCM equation.

GCF(1378,1396) = 2
LCM(1378,1396) = ( 1378 × 1396) / 2
LCM(1378,1396) = 1923688 / 2
LCM(1378,1396) = 961844

Least Common Multiple (LCM) of 1378 and 1396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1378 and 1396. First we will calculate the prime factors of 1378 and 1396.

Prime Factorization of 1378

Prime Factorization of 1396

Now multiplying the highest exponent prime factors to calculate the LCM of 1378 and 1396.

LCM(1378,1396) = 2² × 13¹ × 53¹ × 349¹
LCM(1378,1396) = 961844