Least Common Multiple of 1299 and 1304

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 1304 the smallest integer that is 1693896 that is divisible by both numbers.

Least Common Multiple (LCM) of 1299 and 1304 is 1693896.

LCM(1299,1304) = 1693896

LCM of 1299 and 1304

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

LCM of:
and

Least Common Multiple of 1299 and 1304

LCM of 1299 and 1304 is 1693896

Least common multiple can be found by multiplying the highest exponent prime factors of 1299 and 1304. First we will calculate the prime factors of 1299 and 1304.

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 1304


2 1304
2 652
2 326
163 163
1

Prime factors of 1304 are 2,163. Prime factorization of 1304 in exponential form is:

1304 = 23×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1299 and 1304.

LCM(1299,1304) = 23×31×1631×4331
LCM(1299,1304) = 1693896

Factors of 1299

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

1, 3, 433, 1299

Factors of 1304

List of positive integer factors of 1304 that divides 1304 without a remainder.

1, 2, 4, 8, 163, 326, 652, 1304

Least Common Multiple of 1299 and 1304 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 1304, than apply into the LCM equation.

GCF(1299,1304) = 1
LCM(1299,1304) = ( 1299 × 1304) / 1
LCM(1299,1304) = 1693896 / 1
LCM(1299,1304) = 1693896

Properties of LCM 1299 and 1304

(i) The LCM of 1304 and 1299 is associative

LCM of 1299 and 1304 = LCM of 1304 and 1299

Related Least Common Multiples of 1299

Related Least Common Multiples of 1304

Frequently Asked Questions on LCM of 1299 and 1304

1. What is the LCM of 1299 and 1304?

Answer: LCM of 1299 and 1304 is 1693896.

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 1304?

Answer: Factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304. There are 8 integers that are factors of 1304. The greatest factor of 1304 is 1304.

4. How to Find the LCM of 1299 and 1304?

Answer:

Least Common Multiple of 1299 and 1304 = 1693896

Step 1: Find the prime factorization of 1299

1299 = 3 x 433

Step 2: Find the prime factorization of 1304

1304 = 2 x 2 x 2 x 163

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

LCM = 1693896 = 2 x 2 x 2 x 3 x 163 x 433

Step 4: Therefore, the least common multiple of 1299 and 1304 is 1693896.