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What is the Least Common Multiple of 1328 and 1343?

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 1328 and 1343 is 1783504.

LCM(1328,1343) = 1783504

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Least Common Multiple of 1328 and 1343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1328 and 1343, than apply into the LCM equation.

GCF(1328,1343) = 1
LCM(1328,1343) = ( 1328 × 1343) / 1
LCM(1328,1343) = 1783504 / 1
LCM(1328,1343) = 1783504

Least Common Multiple (LCM) of 1328 and 1343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1343. First we will calculate the prime factors of 1328 and 1343.

Prime Factorization of 1328

Prime factors of 1328 are 2, 83. Prime factorization of 1328 in exponential form is:

1328 = 24 × 831

Prime Factorization of 1343

Prime factors of 1343 are 17, 79. Prime factorization of 1343 in exponential form is:

1343 = 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1343.

LCM(1328,1343) = 24 × 831 × 171 × 791
LCM(1328,1343) = 1783504