Least Common Multiple of 7404 and 7411

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 7411 the smallest integer that is 54871044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7404 and 7411 is 54871044.

LCM(7404,7411) = 54871044

LCM of 7404 and 7411

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

LCM of:
and

Least Common Multiple of 7404 and 7411

LCM of 7404 and 7411 is 54871044

Least common multiple can be found by multiplying the highest exponent prime factors of 7404 and 7411. First we will calculate the prime factors of 7404 and 7411.

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 7411


7411 7411
1

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 7404 and 7411.

LCM(7404,7411) = 22×31×6171×74111
LCM(7404,7411) = 54871044

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 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1, 7411

Least Common Multiple of 7404 and 7411 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 7411, than apply into the LCM equation.

GCF(7404,7411) = 1
LCM(7404,7411) = ( 7404 × 7411) / 1
LCM(7404,7411) = 54871044 / 1
LCM(7404,7411) = 54871044

Properties of LCM 7404 and 7411

(i) The LCM of 7411 and 7404 is associative

LCM of 7404 and 7411 = LCM of 7411 and 7404

Related Least Common Multiples of 7404

Related Least Common Multiples of 7411

Frequently Asked Questions on LCM of 7404 and 7411

1. What is the LCM of 7404 and 7411?

Answer: LCM of 7404 and 7411 is 54871044.

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 7411?

Answer: Factors of 7411 are 1, 7411. There are 2 integers that are factors of 7411. The greatest factor of 7411 is 7411.

4. How to Find the LCM of 7404 and 7411?

Answer:

Least Common Multiple of 7404 and 7411 = 54871044

Step 1: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

Step 2: Find the prime factorization of 7411

7411 = 7411

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

LCM = 54871044 = 2 x 2 x 3 x 617 x 7411

Step 4: Therefore, the least common multiple of 7404 and 7411 is 54871044.