Least Common Multiple of 7404 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 7404 and 7408 the smallest integer that is 13712208 that is divisible by both numbers.

Least Common Multiple (LCM) of 7404 and 7408 is 13712208.

LCM(7404,7408) = 13712208

LCM of 7404 and 7408

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

LCM of:
and

Least Common Multiple of 7404 and 7408

LCM of 7404 and 7408 is 13712208

Least common multiple can be found by multiplying the highest exponent prime factors of 7404 and 7408. First we will calculate the prime factors of 7404 and 7408.

Prime Factorization of 7404


2 7404
2 3702
3 1851
617 617
1

Prime factors of 7404 are 2, 3,617. Prime factorization of 7404 in exponential form is:

7404 = 22×31×6171

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 7404 and 7408.

LCM(7404,7408) = 24×31×4631×6171
LCM(7404,7408) = 13712208

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404

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 7404 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 7404 and 7408, than apply into the LCM equation.

GCF(7404,7408) = 4
LCM(7404,7408) = ( 7404 × 7408) / 4
LCM(7404,7408) = 54848832 / 4
LCM(7404,7408) = 13712208

Properties of LCM 7404 and 7408

(i) The LCM of 7408 and 7404 is associative

LCM of 7404 and 7408 = LCM of 7408 and 7404

Related Least Common Multiples of 7404

Related Least Common Multiples of 7408

Frequently Asked Questions on LCM of 7404 and 7408

1. What is the LCM of 7404 and 7408?

Answer: LCM of 7404 and 7408 is 13712208.

2. What are the Factors of 7404?

Answer: Factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404. There are 12 integers that are factors of 7404. The greatest factor of 7404 is 7404.

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 7404 and 7408?

Answer:

Least Common Multiple of 7404 and 7408 = 13712208

Step 1: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

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 = 13712208 = 2 x 2 x 2 x 2 x 3 x 463 x 617

Step 4: Therefore, the least common multiple of 7404 and 7408 is 13712208.