Least Common Multiple of 7406 and 7412

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 7412 the smallest integer that is 27446636 that is divisible by both numbers.

Least Common Multiple (LCM) of 7406 and 7412 is 27446636.

LCM(7406,7412) = 27446636

LCM of 7406 and 7412

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

LCM of:
and

Least Common Multiple of 7406 and 7412

LCM of 7406 and 7412 is 27446636

Least common multiple can be found by multiplying the highest exponent prime factors of 7406 and 7412. First we will calculate the prime factors of 7406 and 7412.

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 7412


2 7412
2 3706
17 1853
109 109
1

Prime factors of 7412 are 2, 17,109. Prime factorization of 7412 in exponential form is:

7412 = 22×171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7406 and 7412.

LCM(7406,7412) = 22×71×171×232×1091
LCM(7406,7412) = 27446636

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 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412

Least Common Multiple of 7406 and 7412 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 7412, than apply into the LCM equation.

GCF(7406,7412) = 2
LCM(7406,7412) = ( 7406 × 7412) / 2
LCM(7406,7412) = 54893272 / 2
LCM(7406,7412) = 27446636

Properties of LCM 7406 and 7412

(i) The LCM of 7412 and 7406 is associative

LCM of 7406 and 7412 = LCM of 7412 and 7406

Related Least Common Multiples of 7406

Related Least Common Multiples of 7412

Frequently Asked Questions on LCM of 7406 and 7412

1. What is the LCM of 7406 and 7412?

Answer: LCM of 7406 and 7412 is 27446636.

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 7412?

Answer: Factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412. There are 12 integers that are factors of 7412. The greatest factor of 7412 is 7412.

4. How to Find the LCM of 7406 and 7412?

Answer:

Least Common Multiple of 7406 and 7412 = 27446636

Step 1: Find the prime factorization of 7406

7406 = 2 x 7 x 23 x 23

Step 2: Find the prime factorization of 7412

7412 = 2 x 2 x 17 x 109

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

LCM = 27446636 = 2 x 2 x 7 x 17 x 23 x 23 x 109

Step 4: Therefore, the least common multiple of 7406 and 7412 is 27446636.