GCF and LCM Calculator Logo

What is the Least Common Multiple of 1393 and 1398?

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 (LCM) of 1393 and 1398 is 1947414.

LCM(1393,1398) = 1947414

LCM Calculator and
and

Least Common Multiple of 1393 and 1398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1393 and 1398, than apply into the LCM equation.

GCF(1393,1398) = 1
LCM(1393,1398) = ( 1393 × 1398) / 1
LCM(1393,1398) = 1947414 / 1
LCM(1393,1398) = 1947414

Least Common Multiple (LCM) of 1393 and 1398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1393 and 1398. First we will calculate the prime factors of 1393 and 1398.

Prime Factorization of 1393

Prime factors of 1393 are 7, 199. Prime factorization of 1393 in exponential form is:

1393 = 71 × 1991

Prime Factorization of 1398

Prime factors of 1398 are 2, 3, 233. Prime factorization of 1398 in exponential form is:

1398 = 21 × 31 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1393 and 1398.

LCM(1393,1398) = 71 × 1991 × 21 × 31 × 2331
LCM(1393,1398) = 1947414