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What is the Least Common Multiple of 1387 and 1395?

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 1387 and 1395 is 1934865.

LCM(1387,1395) = 1934865

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Least Common Multiple of 1387 and 1395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1387 and 1395, than apply into the LCM equation.

GCF(1387,1395) = 1
LCM(1387,1395) = ( 1387 × 1395) / 1
LCM(1387,1395) = 1934865 / 1
LCM(1387,1395) = 1934865

Least Common Multiple (LCM) of 1387 and 1395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1387 and 1395. First we will calculate the prime factors of 1387 and 1395.

Prime Factorization of 1387

Prime factors of 1387 are 19, 73. Prime factorization of 1387 in exponential form is:

1387 = 191 × 731

Prime Factorization of 1395

Prime factors of 1395 are 3, 5, 31. Prime factorization of 1395 in exponential form is:

1395 = 32 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1387 and 1395.

LCM(1387,1395) = 191 × 731 × 32 × 51 × 311
LCM(1387,1395) = 1934865