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What is the Least Common Multiple of 1387 and 1393?

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 1393 is 1932091.

LCM(1387,1393) = 1932091

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Least Common Multiple of 1387 and 1393 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 1393, than apply into the LCM equation.

GCF(1387,1393) = 1
LCM(1387,1393) = ( 1387 × 1393) / 1
LCM(1387,1393) = 1932091 / 1
LCM(1387,1393) = 1932091

Least Common Multiple (LCM) of 1387 and 1393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1387 and 1393. First we will calculate the prime factors of 1387 and 1393.

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 1393

Prime factors of 1393 are 7, 199. Prime factorization of 1393 in exponential form is:

1393 = 71 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1387 and 1393.

LCM(1387,1393) = 191 × 731 × 71 × 1991
LCM(1387,1393) = 1932091