Least Common Multiple of 1299 and 1305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1299 and 1305 the smallest integer that is 565065 that is divisible by both numbers.

Least Common Multiple (LCM) of 1299 and 1305 is 565065.

LCM(1299,1305) = 565065

LCM of 1299 and 1305

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

LCM of:
and

Least Common Multiple of 1299 and 1305

LCM of 1299 and 1305 is 565065

Least common multiple can be found by multiplying the highest exponent prime factors of 1299 and 1305. First we will calculate the prime factors of 1299 and 1305.

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

Prime Factorization of 1305


3 1305
3 435
5 145
29 29
1

Prime factors of 1305 are 3, 5,29. Prime factorization of 1305 in exponential form is:

1305 = 32×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1299 and 1305.

LCM(1299,1305) = 32×51×291×4331
LCM(1299,1305) = 565065

Factors of 1299

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

1, 3, 433, 1299

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

Least Common Multiple of 1299 and 1305 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 1305, than apply into the LCM equation.

GCF(1299,1305) = 3
LCM(1299,1305) = ( 1299 × 1305) / 3
LCM(1299,1305) = 1695195 / 3
LCM(1299,1305) = 565065

Properties of LCM 1299 and 1305

(i) The LCM of 1305 and 1299 is associative

LCM of 1299 and 1305 = LCM of 1305 and 1299

Related Least Common Multiples of 1299

Related Least Common Multiples of 1305

Frequently Asked Questions on LCM of 1299 and 1305

1. What is the LCM of 1299 and 1305?

Answer: LCM of 1299 and 1305 is 565065.

2. 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.

3. What are the Factors of 1305?

Answer: Factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305. There are 12 integers that are factors of 1305. The greatest factor of 1305 is 1305.

4. How to Find the LCM of 1299 and 1305?

Answer:

Least Common Multiple of 1299 and 1305 = 565065

Step 1: Find the prime factorization of 1299

1299 = 3 x 433

Step 2: Find the prime factorization of 1305

1305 = 3 x 3 x 5 x 29

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

LCM = 565065 = 3 x 3 x 5 x 29 x 433

Step 4: Therefore, the least common multiple of 1299 and 1305 is 565065.