Least Common Multiple of 1299 and 1300

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 1300 the smallest integer that is 1688700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1299 and 1300 is 1688700.

LCM(1299,1300) = 1688700

LCM of 1299 and 1300

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

LCM of:
and

Least Common Multiple of 1299 and 1300

LCM of 1299 and 1300 is 1688700

Least common multiple can be found by multiplying the highest exponent prime factors of 1299 and 1300. First we will calculate the prime factors of 1299 and 1300.

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 1300


2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 1300 are 2, 5,13. Prime factorization of 1300 in exponential form is:

1300 = 22×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1299 and 1300.

LCM(1299,1300) = 22×31×52×131×4331
LCM(1299,1300) = 1688700

Factors of 1299

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

1, 3, 433, 1299

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300

Least Common Multiple of 1299 and 1300 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 1300, than apply into the LCM equation.

GCF(1299,1300) = 1
LCM(1299,1300) = ( 1299 × 1300) / 1
LCM(1299,1300) = 1688700 / 1
LCM(1299,1300) = 1688700

Properties of LCM 1299 and 1300

(i) The LCM of 1300 and 1299 is associative

LCM of 1299 and 1300 = LCM of 1300 and 1299

Related Least Common Multiples of 1299

Related Least Common Multiples of 1300

Frequently Asked Questions on LCM of 1299 and 1300

1. What is the LCM of 1299 and 1300?

Answer: LCM of 1299 and 1300 is 1688700.

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 1300?

Answer: Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300. There are 18 integers that are factors of 1300. The greatest factor of 1300 is 1300.

4. How to Find the LCM of 1299 and 1300?

Answer:

Least Common Multiple of 1299 and 1300 = 1688700

Step 1: Find the prime factorization of 1299

1299 = 3 x 433

Step 2: Find the prime factorization of 1300

1300 = 2 x 2 x 5 x 5 x 13

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

LCM = 1688700 = 2 x 2 x 3 x 5 x 5 x 13 x 433

Step 4: Therefore, the least common multiple of 1299 and 1300 is 1688700.