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What is the Least Common Multiple of 1299 and 1319?

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 1299 and 1319 is 1713381.

LCM(1299,1319) = 1713381

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Least Common Multiple of 1299 and 1319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1299 and 1319, than apply into the LCM equation.

GCF(1299,1319) = 1
LCM(1299,1319) = ( 1299 × 1319) / 1
LCM(1299,1319) = 1713381 / 1
LCM(1299,1319) = 1713381

Least Common Multiple (LCM) of 1299 and 1319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1299 and 1319. First we will calculate the prime factors of 1299 and 1319.

Prime Factorization of 1299

Prime factors of 1299 are 3, 433. Prime factorization of 1299 in exponential form is:

1299 = 31 × 4331

Prime Factorization of 1319

Prime factors of 1319 are 1319. Prime factorization of 1319 in exponential form is:

1319 = 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 1299 and 1319.

LCM(1299,1319) = 31 × 4331 × 13191
LCM(1299,1319) = 1713381