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What is the Least Common Multiple of 1371 and 1384?

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 1371 and 1384 is 1897464.

LCM(1371,1384) = 1897464

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Least Common Multiple of 1371 and 1384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1371 and 1384, than apply into the LCM equation.

GCF(1371,1384) = 1
LCM(1371,1384) = ( 1371 × 1384) / 1
LCM(1371,1384) = 1897464 / 1
LCM(1371,1384) = 1897464

Least Common Multiple (LCM) of 1371 and 1384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1371 and 1384. First we will calculate the prime factors of 1371 and 1384.

Prime Factorization of 1371

Prime factors of 1371 are 3, 457. Prime factorization of 1371 in exponential form is:

1371 = 31 × 4571

Prime Factorization of 1384

Prime factors of 1384 are 2, 173. Prime factorization of 1384 in exponential form is:

1384 = 23 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1371 and 1384.

LCM(1371,1384) = 31 × 4571 × 23 × 1731
LCM(1371,1384) = 1897464