What is the Least Common Multiple of 1364 and 1376?

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 1364 and 1376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1364 and 1376, than apply into the LCM equation.

GCF(1364,1376) = 4
LCM(1364,1376) = ( 1364 × 1376) / 4
LCM(1364,1376) = 1876864 / 4
LCM(1364,1376) = 469216

Least Common Multiple (LCM) of 1364 and 1376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1376. First we will calculate the prime factors of 1364 and 1376.

Prime Factorization of 1364

Prime Factorization of 1376

Now multiplying the highest exponent prime factors to calculate the LCM of 1364 and 1376.

LCM(1364,1376) = 2⁵ × 11¹ × 31¹ × 43¹
LCM(1364,1376) = 469216