Least Common Multiple of 7404 and 7409

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 7409 the smallest integer that is 54856236 that is divisible by both numbers.

Least Common Multiple (LCM) of 7404 and 7409 is 54856236.

LCM(7404,7409) = 54856236

LCM of 7404 and 7409

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

LCM of:
and

Least Common Multiple of 7404 and 7409

LCM of 7404 and 7409 is 54856236

Least common multiple can be found by multiplying the highest exponent prime factors of 7404 and 7409. First we will calculate the prime factors of 7404 and 7409.

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 7409


31 7409
239 239
1

Prime factors of 7409 are 31,239. Prime factorization of 7409 in exponential form is:

7409 = 311×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7404 and 7409.

LCM(7404,7409) = 22×31×311×2391×6171
LCM(7404,7409) = 54856236

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 7409

List of positive integer factors of 7409 that divides 7409 without a remainder.

1, 31, 239, 7409

Least Common Multiple of 7404 and 7409 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 7409, than apply into the LCM equation.

GCF(7404,7409) = 1
LCM(7404,7409) = ( 7404 × 7409) / 1
LCM(7404,7409) = 54856236 / 1
LCM(7404,7409) = 54856236

Properties of LCM 7404 and 7409

(i) The LCM of 7409 and 7404 is associative

LCM of 7404 and 7409 = LCM of 7409 and 7404

Related Least Common Multiples of 7404

Related Least Common Multiples of 7409

Frequently Asked Questions on LCM of 7404 and 7409

1. What is the LCM of 7404 and 7409?

Answer: LCM of 7404 and 7409 is 54856236.

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 7409?

Answer: Factors of 7409 are 1, 31, 239, 7409. There are 4 integers that are factors of 7409. The greatest factor of 7409 is 7409.

4. How to Find the LCM of 7404 and 7409?

Answer:

Least Common Multiple of 7404 and 7409 = 54856236

Step 1: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

Step 2: Find the prime factorization of 7409

7409 = 31 x 239

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

LCM = 54856236 = 2 x 2 x 3 x 31 x 239 x 617

Step 4: Therefore, the least common multiple of 7404 and 7409 is 54856236.