What is the Least Common Multiple of 1386 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 1386 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 1386 and 1396, than apply into the LCM equation.

GCF(1386,1396) = 2
LCM(1386,1396) = ( 1386 × 1396) / 2
LCM(1386,1396) = 1934856 / 2
LCM(1386,1396) = 967428

Least Common Multiple (LCM) of 1386 and 1396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1386 and 1396. First we will calculate the prime factors of 1386 and 1396.

Prime Factorization of 1386

Prime Factorization of 1396

Now multiplying the highest exponent prime factors to calculate the LCM of 1386 and 1396.

LCM(1386,1396) = 2² × 3² × 7¹ × 11¹ × 349¹
LCM(1386,1396) = 967428