Least Common Multiple of 1399 and 1404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1399 and 1404 the smallest integer that is 1964196 that is divisible by both numbers.

Least Common Multiple (LCM) of 1399 and 1404 is 1964196.

LCM(1399,1404) = 1964196

LCM of 1399 and 1404

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

LCM of:
and

Least Common Multiple of 1399 and 1404

LCM of 1399 and 1404 is 1964196

Least common multiple can be found by multiplying the highest exponent prime factors of 1399 and 1404. First we will calculate the prime factors of 1399 and 1404.

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Prime Factorization of 1404


2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 1404 are 2, 3,13. Prime factorization of 1404 in exponential form is:

1404 = 22×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1399 and 1404.

LCM(1399,1404) = 22×33×131×13991
LCM(1399,1404) = 1964196

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1, 1399

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404

Least Common Multiple of 1399 and 1404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1399 and 1404, than apply into the LCM equation.

GCF(1399,1404) = 1
LCM(1399,1404) = ( 1399 × 1404) / 1
LCM(1399,1404) = 1964196 / 1
LCM(1399,1404) = 1964196

Properties of LCM 1399 and 1404

(i) The LCM of 1404 and 1399 is associative

LCM of 1399 and 1404 = LCM of 1404 and 1399

Related Least Common Multiples of 1399

Related Least Common Multiples of 1404

Frequently Asked Questions on LCM of 1399 and 1404

1. What is the LCM of 1399 and 1404?

Answer: LCM of 1399 and 1404 is 1964196.

2. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

3. What are the Factors of 1404?

Answer: Factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404. There are 24 integers that are factors of 1404. The greatest factor of 1404 is 1404.

4. How to Find the LCM of 1399 and 1404?

Answer:

Least Common Multiple of 1399 and 1404 = 1964196

Step 1: Find the prime factorization of 1399

1399 = 1399

Step 2: Find the prime factorization of 1404

1404 = 2 x 2 x 3 x 3 x 3 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 = 1964196 = 2 x 2 x 3 x 3 x 3 x 13 x 1399

Step 4: Therefore, the least common multiple of 1399 and 1404 is 1964196.