Least Common Multiple of 7406 and 7410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7406 and 7410 the smallest integer that is 27439230 that is divisible by both numbers.

Least Common Multiple (LCM) of 7406 and 7410 is 27439230.

LCM(7406,7410) = 27439230

LCM of 7406 and 7410

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

LCM of:
and

Least Common Multiple of 7406 and 7410

LCM of 7406 and 7410 is 27439230

Least common multiple can be found by multiplying the highest exponent prime factors of 7406 and 7410. First we will calculate the prime factors of 7406 and 7410.

Prime Factorization of 7406


2 7406
7 3703
23 529
23 23
1

Prime factors of 7406 are 2, 7,23. Prime factorization of 7406 in exponential form is:

7406 = 21×71×232

Prime Factorization of 7410


2 7410
3 3705
5 1235
13 247
19 19
1

Prime factors of 7410 are 2, 3, 5, 13,19. Prime factorization of 7410 in exponential form is:

7410 = 21×31×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7406 and 7410.

LCM(7406,7410) = 21×31×51×71×131×191×232
LCM(7406,7410) = 27439230

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410

Least Common Multiple of 7406 and 7410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7406 and 7410, than apply into the LCM equation.

GCF(7406,7410) = 2
LCM(7406,7410) = ( 7406 × 7410) / 2
LCM(7406,7410) = 54878460 / 2
LCM(7406,7410) = 27439230

Properties of LCM 7406 and 7410

(i) The LCM of 7410 and 7406 is associative

LCM of 7406 and 7410 = LCM of 7410 and 7406

Related Least Common Multiples of 7406

Related Least Common Multiples of 7410

Frequently Asked Questions on LCM of 7406 and 7410

1. What is the LCM of 7406 and 7410?

Answer: LCM of 7406 and 7410 is 27439230.

2. What are the Factors of 7406?

Answer: Factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. There are 12 integers that are factors of 7406. The greatest factor of 7406 is 7406.

3. What are the Factors of 7410?

Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.

4. How to Find the LCM of 7406 and 7410?

Answer:

Least Common Multiple of 7406 and 7410 = 27439230

Step 1: Find the prime factorization of 7406

7406 = 2 x 7 x 23 x 23

Step 2: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

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

LCM = 27439230 = 2 x 3 x 5 x 7 x 13 x 19 x 23 x 23

Step 4: Therefore, the least common multiple of 7406 and 7410 is 27439230.