What is the Least Common Multiple of 1349 and 1366?

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 1349 and 1366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1349 and 1366, than apply into the LCM equation.

GCF(1349,1366) = 1
LCM(1349,1366) = ( 1349 × 1366) / 1
LCM(1349,1366) = 1842734 / 1
LCM(1349,1366) = 1842734

Least Common Multiple (LCM) of 1349 and 1366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1349 and 1366. First we will calculate the prime factors of 1349 and 1366.

Prime Factorization of 1349

Prime Factorization of 1366

Now multiplying the highest exponent prime factors to calculate the LCM of 1349 and 1366.

LCM(1349,1366) = 19¹ × 71¹ × 2¹ × 683¹
LCM(1349,1366) = 1842734