Least Common Multiple of 7413 and 7421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7413 and 7421 the smallest integer that is 55011873 that is divisible by both numbers.

Least Common Multiple (LCM) of 7413 and 7421 is 55011873.

LCM(7413,7421) = 55011873

LCM of 7413 and 7421

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

LCM of:
and

Least Common Multiple of 7413 and 7421

LCM of 7413 and 7421 is 55011873

Least common multiple can be found by multiplying the highest exponent prime factors of 7413 and 7421. First we will calculate the prime factors of 7413 and 7421.

Prime Factorization of 7413


3 7413
7 2471
353 353
1

Prime factors of 7413 are 3, 7,353. Prime factorization of 7413 in exponential form is:

7413 = 31×71×3531

Prime Factorization of 7421


41 7421
181 181
1

Prime factors of 7421 are 41,181. Prime factorization of 7421 in exponential form is:

7421 = 411×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7413 and 7421.

LCM(7413,7421) = 31×71×411×1811×3531
LCM(7413,7421) = 55011873

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1, 3, 7, 21, 353, 1059, 2471, 7413

Factors of 7421

List of positive integer factors of 7421 that divides 7421 without a remainder.

1, 41, 181, 7421

Least Common Multiple of 7413 and 7421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7413 and 7421, than apply into the LCM equation.

GCF(7413,7421) = 1
LCM(7413,7421) = ( 7413 × 7421) / 1
LCM(7413,7421) = 55011873 / 1
LCM(7413,7421) = 55011873

Properties of LCM 7413 and 7421

(i) The LCM of 7421 and 7413 is associative

LCM of 7413 and 7421 = LCM of 7421 and 7413

Related Least Common Multiples of 7413

Related Least Common Multiples of 7421

Frequently Asked Questions on LCM of 7413 and 7421

1. What is the LCM of 7413 and 7421?

Answer: LCM of 7413 and 7421 is 55011873.

2. What are the Factors of 7413?

Answer: Factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413. There are 8 integers that are factors of 7413. The greatest factor of 7413 is 7413.

3. What are the Factors of 7421?

Answer: Factors of 7421 are 1, 41, 181, 7421. There are 4 integers that are factors of 7421. The greatest factor of 7421 is 7421.

4. How to Find the LCM of 7413 and 7421?

Answer:

Least Common Multiple of 7413 and 7421 = 55011873

Step 1: Find the prime factorization of 7413

7413 = 3 x 7 x 353

Step 2: Find the prime factorization of 7421

7421 = 41 x 181

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

LCM = 55011873 = 3 x 7 x 41 x 181 x 353

Step 4: Therefore, the least common multiple of 7413 and 7421 is 55011873.