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What is the Least Common Multiple of 1267 and 1285?

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 1267 and 1285 is 1628095.

LCM(1267,1285) = 1628095

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Least Common Multiple of 1267 and 1285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1267 and 1285, than apply into the LCM equation.

GCF(1267,1285) = 1
LCM(1267,1285) = ( 1267 × 1285) / 1
LCM(1267,1285) = 1628095 / 1
LCM(1267,1285) = 1628095

Least Common Multiple (LCM) of 1267 and 1285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1267 and 1285. First we will calculate the prime factors of 1267 and 1285.

Prime Factorization of 1267

Prime factors of 1267 are 7, 181. Prime factorization of 1267 in exponential form is:

1267 = 71 × 1811

Prime Factorization of 1285

Prime factors of 1285 are 5, 257. Prime factorization of 1285 in exponential form is:

1285 = 51 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 1267 and 1285.

LCM(1267,1285) = 71 × 1811 × 51 × 2571
LCM(1267,1285) = 1628095