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What is the Least Common Multiple of 1369 and 1386?

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 1369 and 1386 is 1897434.

LCM(1369,1386) = 1897434

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Least Common Multiple of 1369 and 1386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1369 and 1386, than apply into the LCM equation.

GCF(1369,1386) = 1
LCM(1369,1386) = ( 1369 × 1386) / 1
LCM(1369,1386) = 1897434 / 1
LCM(1369,1386) = 1897434

Least Common Multiple (LCM) of 1369 and 1386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1369 and 1386. First we will calculate the prime factors of 1369 and 1386.

Prime Factorization of 1369

Prime factors of 1369 are 37. Prime factorization of 1369 in exponential form is:

1369 = 372

Prime Factorization of 1386

Prime factors of 1386 are 2, 3, 7, 11. Prime factorization of 1386 in exponential form is:

1386 = 21 × 32 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1369 and 1386.

LCM(1369,1386) = 372 × 21 × 32 × 71 × 111
LCM(1369,1386) = 1897434