Least Common Multiple of 5404 and 5412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5404 and 5412 the smallest integer that is 7311612 that is divisible by both numbers.

Least Common Multiple (LCM) of 5404 and 5412 is 7311612.

LCM(5404,5412) = 7311612

LCM of 5404 and 5412

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

LCM of:
and

Least Common Multiple of 5404 and 5412

LCM of 5404 and 5412 is 7311612

Least common multiple can be found by multiplying the highest exponent prime factors of 5404 and 5412. First we will calculate the prime factors of 5404 and 5412.

Prime Factorization of 5404


2 5404
2 2702
7 1351
193 193
1

Prime factors of 5404 are 2, 7,193. Prime factorization of 5404 in exponential form is:

5404 = 22×71×1931

Prime Factorization of 5412


2 5412
2 2706
3 1353
11 451
41 41
1

Prime factors of 5412 are 2, 3, 11,41. Prime factorization of 5412 in exponential form is:

5412 = 22×31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5404 and 5412.

LCM(5404,5412) = 22×31×71×111×411×1931
LCM(5404,5412) = 7311612

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404

Factors of 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412

Least Common Multiple of 5404 and 5412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5404 and 5412, than apply into the LCM equation.

GCF(5404,5412) = 4
LCM(5404,5412) = ( 5404 × 5412) / 4
LCM(5404,5412) = 29246448 / 4
LCM(5404,5412) = 7311612

Properties of LCM 5404 and 5412

(i) The LCM of 5412 and 5404 is associative

LCM of 5404 and 5412 = LCM of 5412 and 5404

Related Least Common Multiples of 5404

Related Least Common Multiples of 5412

Frequently Asked Questions on LCM of 5404 and 5412

1. What is the LCM of 5404 and 5412?

Answer: LCM of 5404 and 5412 is 7311612.

2. What are the Factors of 5404?

Answer: Factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404. There are 12 integers that are factors of 5404. The greatest factor of 5404 is 5404.

3. What are the Factors of 5412?

Answer: Factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412. There are 24 integers that are factors of 5412. The greatest factor of 5412 is 5412.

4. How to Find the LCM of 5404 and 5412?

Answer:

Least Common Multiple of 5404 and 5412 = 7311612

Step 1: Find the prime factorization of 5404

5404 = 2 x 2 x 7 x 193

Step 2: Find the prime factorization of 5412

5412 = 2 x 2 x 3 x 11 x 41

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

LCM = 7311612 = 2 x 2 x 3 x 7 x 11 x 41 x 193

Step 4: Therefore, the least common multiple of 5404 and 5412 is 7311612.