Least Common Multiple of 1293 and 1299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1293 and 1299 the smallest integer that is 559869 that is divisible by both numbers.

Least Common Multiple (LCM) of 1293 and 1299 is 559869.

LCM(1293,1299) = 559869

LCM of 1293 and 1299

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1293 and 1299

LCM of 1293 and 1299 is 559869

Least common multiple can be found by multiplying the highest exponent prime factors of 1293 and 1299. First we will calculate the prime factors of 1293 and 1299.

Prime Factorization of 1293


3 1293
431 431
1

Prime factors of 1293 are 3,431. Prime factorization of 1293 in exponential form is:

1293 = 31×4311

Prime Factorization of 1299


3 1299
433 433
1

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

1299 = 31×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 1293 and 1299.

LCM(1293,1299) = 31×4311×4331
LCM(1293,1299) = 559869

Factors of 1293

List of positive integer factors of 1293 that divides 1293 without a remainder.

1, 3, 431, 1293

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1, 3, 433, 1299

Least Common Multiple of 1293 and 1299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1293 and 1299, than apply into the LCM equation.

GCF(1293,1299) = 3
LCM(1293,1299) = ( 1293 × 1299) / 3
LCM(1293,1299) = 1679607 / 3
LCM(1293,1299) = 559869

Properties of LCM 1293 and 1299

(i) The LCM of 1299 and 1293 is associative

LCM of 1293 and 1299 = LCM of 1299 and 1293

Related Least Common Multiples of 1293

Related Least Common Multiples of 1299

Frequently Asked Questions on LCM of 1293 and 1299

1. What is the LCM of 1293 and 1299?

Answer: LCM of 1293 and 1299 is 559869.

2. What are the Factors of 1293?

Answer: Factors of 1293 are 1, 3, 431, 1293. There are 4 integers that are factors of 1293. The greatest factor of 1293 is 1293.

3. What are the Factors of 1299?

Answer: Factors of 1299 are 1, 3, 433, 1299. There are 4 integers that are factors of 1299. The greatest factor of 1299 is 1299.

4. How to Find the LCM of 1293 and 1299?

Answer:

Least Common Multiple of 1293 and 1299 = 559869

Step 1: Find the prime factorization of 1293

1293 = 3 x 431

Step 2: Find the prime factorization of 1299

1299 = 3 x 433

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 559869 = 3 x 431 x 433

Step 4: Therefore, the least common multiple of 1293 and 1299 is 559869.