Least Common Multiple of 10404 and 10412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10404 and 10412 the smallest integer that is 27081612 that is divisible by both numbers.

Least Common Multiple (LCM) of 10404 and 10412 is 27081612.

LCM(10404,10412) = 27081612

LCM of 10404 and 10412

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

LCM of:
and

Least Common Multiple of 10404 and 10412

LCM of 10404 and 10412 is 27081612

Least common multiple can be found by multiplying the highest exponent prime factors of 10404 and 10412. First we will calculate the prime factors of 10404 and 10412.

Prime Factorization of 10404


2 10404
2 5202
3 2601
3 867
17 289
17 17
1

Prime factors of 10404 are 2, 3,17. Prime factorization of 10404 in exponential form is:

10404 = 22×32×172

Prime Factorization of 10412


2 10412
2 5206
19 2603
137 137
1

Prime factors of 10412 are 2, 19,137. Prime factorization of 10412 in exponential form is:

10412 = 22×191×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 10404 and 10412.

LCM(10404,10412) = 22×32×172×191×1371
LCM(10404,10412) = 27081612

Factors of 10404

List of positive integer factors of 10404 that divides 10404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1156, 1734, 2601, 3468, 5202, 10404

Factors of 10412

List of positive integer factors of 10412 that divides 10412 without a remainder.

1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206, 10412

Least Common Multiple of 10404 and 10412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10404 and 10412, than apply into the LCM equation.

GCF(10404,10412) = 4
LCM(10404,10412) = ( 10404 × 10412) / 4
LCM(10404,10412) = 108326448 / 4
LCM(10404,10412) = 27081612

Properties of LCM 10404 and 10412

(i) The LCM of 10412 and 10404 is associative

LCM of 10404 and 10412 = LCM of 10412 and 10404

Related Least Common Multiples of 10404

Related Least Common Multiples of 10412

Frequently Asked Questions on LCM of 10404 and 10412

1. What is the LCM of 10404 and 10412?

Answer: LCM of 10404 and 10412 is 27081612.

2. What are the Factors of 10404?

Answer: Factors of 10404 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1156, 1734, 2601, 3468, 5202, 10404. There are 27 integers that are factors of 10404. The greatest factor of 10404 is 10404.

3. What are the Factors of 10412?

Answer: Factors of 10412 are 1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206, 10412. There are 12 integers that are factors of 10412. The greatest factor of 10412 is 10412.

4. How to Find the LCM of 10404 and 10412?

Answer:

Least Common Multiple of 10404 and 10412 = 27081612

Step 1: Find the prime factorization of 10404

10404 = 2 x 2 x 3 x 3 x 17 x 17

Step 2: Find the prime factorization of 10412

10412 = 2 x 2 x 19 x 137

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

LCM = 27081612 = 2 x 2 x 3 x 3 x 17 x 17 x 19 x 137

Step 4: Therefore, the least common multiple of 10404 and 10412 is 27081612.