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What is the Least Common Multiple of 1312 and 1324?

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 1312 and 1324 is 434272.

LCM(1312,1324) = 434272

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Least Common Multiple of 1312 and 1324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1312 and 1324, than apply into the LCM equation.

GCF(1312,1324) = 4
LCM(1312,1324) = ( 1312 × 1324) / 4
LCM(1312,1324) = 1737088 / 4
LCM(1312,1324) = 434272

Least Common Multiple (LCM) of 1312 and 1324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1312 and 1324. First we will calculate the prime factors of 1312 and 1324.

Prime Factorization of 1312

Prime factors of 1312 are 2, 41. Prime factorization of 1312 in exponential form is:

1312 = 25 × 411

Prime Factorization of 1324

Prime factors of 1324 are 2, 331. Prime factorization of 1324 in exponential form is:

1324 = 22 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 1312 and 1324.

LCM(1312,1324) = 25 × 411 × 3311
LCM(1312,1324) = 434272