Least Common Multiple of 1404 and 1411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1404 and 1411 the smallest integer that is 1981044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1404 and 1411 is 1981044.

LCM(1404,1411) = 1981044

LCM of 1404 and 1411

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

LCM of:
and

Least Common Multiple of 1404 and 1411

LCM of 1404 and 1411 is 1981044

Least common multiple can be found by multiplying the highest exponent prime factors of 1404 and 1411. First we will calculate the prime factors of 1404 and 1411.

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

Prime Factorization of 1411


17 1411
83 83
1

Prime factors of 1411 are 17,83. Prime factorization of 1411 in exponential form is:

1411 = 171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1404 and 1411.

LCM(1404,1411) = 22×33×131×171×831
LCM(1404,1411) = 1981044

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

Factors of 1411

List of positive integer factors of 1411 that divides 1411 without a remainder.

1, 17, 83, 1411

Least Common Multiple of 1404 and 1411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1404 and 1411, than apply into the LCM equation.

GCF(1404,1411) = 1
LCM(1404,1411) = ( 1404 × 1411) / 1
LCM(1404,1411) = 1981044 / 1
LCM(1404,1411) = 1981044

Properties of LCM 1404 and 1411

(i) The LCM of 1411 and 1404 is associative

LCM of 1404 and 1411 = LCM of 1411 and 1404

Related Least Common Multiples of 1404

Related Least Common Multiples of 1411

Frequently Asked Questions on LCM of 1404 and 1411

1. What is the LCM of 1404 and 1411?

Answer: LCM of 1404 and 1411 is 1981044.

2. 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.

3. What are the Factors of 1411?

Answer: Factors of 1411 are 1, 17, 83, 1411. There are 4 integers that are factors of 1411. The greatest factor of 1411 is 1411.

4. How to Find the LCM of 1404 and 1411?

Answer:

Least Common Multiple of 1404 and 1411 = 1981044

Step 1: Find the prime factorization of 1404

1404 = 2 x 2 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 1411

1411 = 17 x 83

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

LCM = 1981044 = 2 x 2 x 3 x 3 x 3 x 13 x 17 x 83

Step 4: Therefore, the least common multiple of 1404 and 1411 is 1981044.