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What is the Least Common Multiple of 1367 and 1385?

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 1367 and 1385 is 1893295.

LCM(1367,1385) = 1893295

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Least Common Multiple of 1367 and 1385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1367 and 1385, than apply into the LCM equation.

GCF(1367,1385) = 1
LCM(1367,1385) = ( 1367 × 1385) / 1
LCM(1367,1385) = 1893295 / 1
LCM(1367,1385) = 1893295

Least Common Multiple (LCM) of 1367 and 1385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1367 and 1385. First we will calculate the prime factors of 1367 and 1385.

Prime Factorization of 1367

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Prime Factorization of 1385

Prime factors of 1385 are 5, 277. Prime factorization of 1385 in exponential form is:

1385 = 51 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1367 and 1385.

LCM(1367,1385) = 13671 × 51 × 2771
LCM(1367,1385) = 1893295