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What is the Least Common Multiple of 1330 and 1338?

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 1330 and 1338 is 889770.

LCM(1330,1338) = 889770

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Least Common Multiple of 1330 and 1338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1330 and 1338, than apply into the LCM equation.

GCF(1330,1338) = 2
LCM(1330,1338) = ( 1330 × 1338) / 2
LCM(1330,1338) = 1779540 / 2
LCM(1330,1338) = 889770

Least Common Multiple (LCM) of 1330 and 1338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1330 and 1338. First we will calculate the prime factors of 1330 and 1338.

Prime Factorization of 1330

Prime factors of 1330 are 2, 5, 7, 19. Prime factorization of 1330 in exponential form is:

1330 = 21 × 51 × 71 × 191

Prime Factorization of 1338

Prime factors of 1338 are 2, 3, 223. Prime factorization of 1338 in exponential form is:

1338 = 21 × 31 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1330 and 1338.

LCM(1330,1338) = 21 × 51 × 71 × 191 × 31 × 2231
LCM(1330,1338) = 889770