Least Common Multiple of 7406 and 7408

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 7408 the smallest integer that is 27431824 that is divisible by both numbers.

Least Common Multiple (LCM) of 7406 and 7408 is 27431824.

LCM(7406,7408) = 27431824

LCM of 7406 and 7408

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

LCM of:
and

Least Common Multiple of 7406 and 7408

LCM of 7406 and 7408 is 27431824

Least common multiple can be found by multiplying the highest exponent prime factors of 7406 and 7408. First we will calculate the prime factors of 7406 and 7408.

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 7408


2 7408
2 3704
2 1852
2 926
463 463
1

Prime factors of 7408 are 2,463. Prime factorization of 7408 in exponential form is:

7408 = 24×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 7406 and 7408.

LCM(7406,7408) = 24×71×232×4631
LCM(7406,7408) = 27431824

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 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408

Least Common Multiple of 7406 and 7408 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 7408, than apply into the LCM equation.

GCF(7406,7408) = 2
LCM(7406,7408) = ( 7406 × 7408) / 2
LCM(7406,7408) = 54863648 / 2
LCM(7406,7408) = 27431824

Properties of LCM 7406 and 7408

(i) The LCM of 7408 and 7406 is associative

LCM of 7406 and 7408 = LCM of 7408 and 7406

Related Least Common Multiples of 7406

Related Least Common Multiples of 7408

Frequently Asked Questions on LCM of 7406 and 7408

1. What is the LCM of 7406 and 7408?

Answer: LCM of 7406 and 7408 is 27431824.

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 7408?

Answer: Factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408. There are 10 integers that are factors of 7408. The greatest factor of 7408 is 7408.

4. How to Find the LCM of 7406 and 7408?

Answer:

Least Common Multiple of 7406 and 7408 = 27431824

Step 1: Find the prime factorization of 7406

7406 = 2 x 7 x 23 x 23

Step 2: Find the prime factorization of 7408

7408 = 2 x 2 x 2 x 2 x 463

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

LCM = 27431824 = 2 x 2 x 2 x 2 x 7 x 23 x 23 x 463

Step 4: Therefore, the least common multiple of 7406 and 7408 is 27431824.