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What is the Least Common Multiple of 1333 and 1353?

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 1333 and 1353 is 1803549.

LCM(1333,1353) = 1803549

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Least Common Multiple of 1333 and 1353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1333 and 1353, than apply into the LCM equation.

GCF(1333,1353) = 1
LCM(1333,1353) = ( 1333 × 1353) / 1
LCM(1333,1353) = 1803549 / 1
LCM(1333,1353) = 1803549

Least Common Multiple (LCM) of 1333 and 1353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1333 and 1353. First we will calculate the prime factors of 1333 and 1353.

Prime Factorization of 1333

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

1333 = 311 × 431

Prime Factorization of 1353

Prime factors of 1353 are 3, 11, 41. Prime factorization of 1353 in exponential form is:

1353 = 31 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1333 and 1353.

LCM(1333,1353) = 311 × 431 × 31 × 111 × 411
LCM(1333,1353) = 1803549