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What is the Least Common Multiple of 1334 and 1346?

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 1334 and 1346 is 897782.

LCM(1334,1346) = 897782

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Least Common Multiple of 1334 and 1346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1334 and 1346, than apply into the LCM equation.

GCF(1334,1346) = 2
LCM(1334,1346) = ( 1334 × 1346) / 2
LCM(1334,1346) = 1795564 / 2
LCM(1334,1346) = 897782

Least Common Multiple (LCM) of 1334 and 1346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1334 and 1346. First we will calculate the prime factors of 1334 and 1346.

Prime Factorization of 1334

Prime factors of 1334 are 2, 23, 29. Prime factorization of 1334 in exponential form is:

1334 = 21 × 231 × 291

Prime Factorization of 1346

Prime factors of 1346 are 2, 673. Prime factorization of 1346 in exponential form is:

1346 = 21 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 1334 and 1346.

LCM(1334,1346) = 21 × 231 × 291 × 6731
LCM(1334,1346) = 897782