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What is the Least Common Multiple of 1379 and 1392?

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 1379 and 1392 is 1919568.

LCM(1379,1392) = 1919568

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Least Common Multiple of 1379 and 1392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1379 and 1392, than apply into the LCM equation.

GCF(1379,1392) = 1
LCM(1379,1392) = ( 1379 × 1392) / 1
LCM(1379,1392) = 1919568 / 1
LCM(1379,1392) = 1919568

Least Common Multiple (LCM) of 1379 and 1392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1379 and 1392. First we will calculate the prime factors of 1379 and 1392.

Prime Factorization of 1379

Prime factors of 1379 are 7, 197. Prime factorization of 1379 in exponential form is:

1379 = 71 × 1971

Prime Factorization of 1392

Prime factors of 1392 are 2, 3, 29. Prime factorization of 1392 in exponential form is:

1392 = 24 × 31 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1379 and 1392.

LCM(1379,1392) = 71 × 1971 × 24 × 31 × 291
LCM(1379,1392) = 1919568