Least Common Multiple of 10404 and 10410

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 10410 the smallest integer that is 18050940 that is divisible by both numbers.

Least Common Multiple (LCM) of 10404 and 10410 is 18050940.

LCM(10404,10410) = 18050940

LCM of 10404 and 10410

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

LCM of:
and

Least Common Multiple of 10404 and 10410

LCM of 10404 and 10410 is 18050940

Least common multiple can be found by multiplying the highest exponent prime factors of 10404 and 10410. First we will calculate the prime factors of 10404 and 10410.

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 10410


2 10410
3 5205
5 1735
347 347
1

Prime factors of 10410 are 2, 3, 5,347. Prime factorization of 10410 in exponential form is:

10410 = 21×31×51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 10404 and 10410.

LCM(10404,10410) = 22×32×51×172×3471
LCM(10404,10410) = 18050940

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 10410

List of positive integer factors of 10410 that divides 10410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410

Least Common Multiple of 10404 and 10410 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 10410, than apply into the LCM equation.

GCF(10404,10410) = 6
LCM(10404,10410) = ( 10404 × 10410) / 6
LCM(10404,10410) = 108305640 / 6
LCM(10404,10410) = 18050940

Properties of LCM 10404 and 10410

(i) The LCM of 10410 and 10404 is associative

LCM of 10404 and 10410 = LCM of 10410 and 10404

Related Least Common Multiples of 10404

Related Least Common Multiples of 10410

Frequently Asked Questions on LCM of 10404 and 10410

1. What is the LCM of 10404 and 10410?

Answer: LCM of 10404 and 10410 is 18050940.

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 10410?

Answer: Factors of 10410 are 1, 2, 3, 5, 6, 10, 15, 30, 347, 694, 1041, 1735, 2082, 3470, 5205, 10410. There are 16 integers that are factors of 10410. The greatest factor of 10410 is 10410.

4. How to Find the LCM of 10404 and 10410?

Answer:

Least Common Multiple of 10404 and 10410 = 18050940

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 10410

10410 = 2 x 3 x 5 x 347

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

LCM = 18050940 = 2 x 2 x 3 x 3 x 5 x 17 x 17 x 347

Step 4: Therefore, the least common multiple of 10404 and 10410 is 18050940.