Least Common Multiple of 7413 and 7420

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 7420 the smallest integer that is 7857780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7413 and 7420 is 7857780.

LCM(7413,7420) = 7857780

LCM of 7413 and 7420

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

LCM of:
and

Least Common Multiple of 7413 and 7420

LCM of 7413 and 7420 is 7857780

Least common multiple can be found by multiplying the highest exponent prime factors of 7413 and 7420. First we will calculate the prime factors of 7413 and 7420.

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 7420


2 7420
2 3710
5 1855
7 371
53 53
1

Prime factors of 7420 are 2, 5, 7,53. Prime factorization of 7420 in exponential form is:

7420 = 22×51×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7413 and 7420.

LCM(7413,7420) = 22×31×51×71×531×3531
LCM(7413,7420) = 7857780

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 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420

Least Common Multiple of 7413 and 7420 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 7420, than apply into the LCM equation.

GCF(7413,7420) = 7
LCM(7413,7420) = ( 7413 × 7420) / 7
LCM(7413,7420) = 55004460 / 7
LCM(7413,7420) = 7857780

Properties of LCM 7413 and 7420

(i) The LCM of 7420 and 7413 is associative

LCM of 7413 and 7420 = LCM of 7420 and 7413

Related Least Common Multiples of 7413

Related Least Common Multiples of 7420

Frequently Asked Questions on LCM of 7413 and 7420

1. What is the LCM of 7413 and 7420?

Answer: LCM of 7413 and 7420 is 7857780.

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 7420?

Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.

4. How to Find the LCM of 7413 and 7420?

Answer:

Least Common Multiple of 7413 and 7420 = 7857780

Step 1: Find the prime factorization of 7413

7413 = 3 x 7 x 353

Step 2: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

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

LCM = 7857780 = 2 x 2 x 3 x 5 x 7 x 53 x 353

Step 4: Therefore, the least common multiple of 7413 and 7420 is 7857780.