Least Common Multiple of 13400 and 13404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13400 and 13404 the smallest integer that is 44903400 that is divisible by both numbers.

Least Common Multiple (LCM) of 13400 and 13404 is 44903400.

LCM(13400,13404) = 44903400

LCM of 13400 and 13404

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

LCM of:
and

Least Common Multiple of 13400 and 13404

LCM of 13400 and 13404 is 44903400

Least common multiple can be found by multiplying the highest exponent prime factors of 13400 and 13404. First we will calculate the prime factors of 13400 and 13404.

Prime Factorization of 13400


2 13400
2 6700
2 3350
5 1675
5 335
67 67
1

Prime factors of 13400 are 2, 5,67. Prime factorization of 13400 in exponential form is:

13400 = 23×52×671

Prime Factorization of 13404


2 13404
2 6702
3 3351
1117 1117
1

Prime factors of 13404 are 2, 3,1117. Prime factorization of 13404 in exponential form is:

13404 = 22×31×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 13400 and 13404.

LCM(13400,13404) = 23×31×52×671×11171
LCM(13400,13404) = 44903400

Factors of 13400

List of positive integer factors of 13400 that divides 13400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700, 13400

Factors of 13404

List of positive integer factors of 13404 that divides 13404 without a remainder.

1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404

Least Common Multiple of 13400 and 13404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13400 and 13404, than apply into the LCM equation.

GCF(13400,13404) = 4
LCM(13400,13404) = ( 13400 × 13404) / 4
LCM(13400,13404) = 179613600 / 4
LCM(13400,13404) = 44903400

Properties of LCM 13400 and 13404

(i) The LCM of 13404 and 13400 is associative

LCM of 13400 and 13404 = LCM of 13404 and 13400

Related Least Common Multiples of 13400

Related Least Common Multiples of 13404

Frequently Asked Questions on LCM of 13400 and 13404

1. What is the LCM of 13400 and 13404?

Answer: LCM of 13400 and 13404 is 44903400.

2. What are the Factors of 13400?

Answer: Factors of 13400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700, 13400. There are 24 integers that are factors of 13400. The greatest factor of 13400 is 13400.

3. What are the Factors of 13404?

Answer: Factors of 13404 are 1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404. There are 12 integers that are factors of 13404. The greatest factor of 13404 is 13404.

4. How to Find the LCM of 13400 and 13404?

Answer:

Least Common Multiple of 13400 and 13404 = 44903400

Step 1: Find the prime factorization of 13400

13400 = 2 x 2 x 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 13404

13404 = 2 x 2 x 3 x 1117

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

LCM = 44903400 = 2 x 2 x 2 x 3 x 5 x 5 x 67 x 1117

Step 4: Therefore, the least common multiple of 13400 and 13404 is 44903400.