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What is the Least Common Multiple of 1396 and 1411?

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 1396 and 1411 is 1969756.

LCM(1396,1411) = 1969756

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Least Common Multiple of 1396 and 1411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1396 and 1411, than apply into the LCM equation.

GCF(1396,1411) = 1
LCM(1396,1411) = ( 1396 × 1411) / 1
LCM(1396,1411) = 1969756 / 1
LCM(1396,1411) = 1969756

Least Common Multiple (LCM) of 1396 and 1411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1396 and 1411. First we will calculate the prime factors of 1396 and 1411.

Prime Factorization of 1396

Prime factors of 1396 are 2, 349. Prime factorization of 1396 in exponential form is:

1396 = 22 × 3491

Prime Factorization of 1411

Prime factors of 1411 are 17, 83. Prime factorization of 1411 in exponential form is:

1411 = 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 1396 and 1411.

LCM(1396,1411) = 22 × 3491 × 171 × 831
LCM(1396,1411) = 1969756