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What is the Least Common Multiple of 1328 and 1333?

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 1333 is 1770224.

LCM(1328,1333) = 1770224

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Least Common Multiple of 1328 and 1333 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 1333, than apply into the LCM equation.

GCF(1328,1333) = 1
LCM(1328,1333) = ( 1328 × 1333) / 1
LCM(1328,1333) = 1770224 / 1
LCM(1328,1333) = 1770224

Least Common Multiple (LCM) of 1328 and 1333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1333. First we will calculate the prime factors of 1328 and 1333.

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 1333

Prime factors of 1333 are 31, 43. Prime factorization of 1333 in exponential form is:

1333 = 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1333.

LCM(1328,1333) = 24 × 831 × 311 × 431
LCM(1328,1333) = 1770224