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What is the Least Common Multiple of 1333 and 1337?

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 1337 is 1782221.

LCM(1333,1337) = 1782221

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Least Common Multiple of 1333 and 1337 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 1337, than apply into the LCM equation.

GCF(1333,1337) = 1
LCM(1333,1337) = ( 1333 × 1337) / 1
LCM(1333,1337) = 1782221 / 1
LCM(1333,1337) = 1782221

Least Common Multiple (LCM) of 1333 and 1337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1333 and 1337. First we will calculate the prime factors of 1333 and 1337.

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 1337

Prime factors of 1337 are 7, 191. Prime factorization of 1337 in exponential form is:

1337 = 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1333 and 1337.

LCM(1333,1337) = 311 × 431 × 71 × 1911
LCM(1333,1337) = 1782221