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What is the Least Common Multiple of 1334 and 1354?

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 1354 is 903118.

LCM(1334,1354) = 903118

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Least Common Multiple of 1334 and 1354 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 1354, than apply into the LCM equation.

GCF(1334,1354) = 2
LCM(1334,1354) = ( 1334 × 1354) / 2
LCM(1334,1354) = 1806236 / 2
LCM(1334,1354) = 903118

Least Common Multiple (LCM) of 1334 and 1354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1334 and 1354. First we will calculate the prime factors of 1334 and 1354.

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 1354

Prime factors of 1354 are 2, 677. Prime factorization of 1354 in exponential form is:

1354 = 21 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 1334 and 1354.

LCM(1334,1354) = 21 × 231 × 291 × 6771
LCM(1334,1354) = 903118