Least Common Multiple of 7407 and 7413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7407 and 7413 the smallest integer that is 18302697 that is divisible by both numbers.

Least Common Multiple (LCM) of 7407 and 7413 is 18302697.

LCM(7407,7413) = 18302697

LCM of 7407 and 7413

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

LCM of:
and

Least Common Multiple of 7407 and 7413

LCM of 7407 and 7413 is 18302697

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7413. First we will calculate the prime factors of 7407 and 7413.

Prime Factorization of 7407


3 7407
3 2469
823 823
1

Prime factors of 7407 are 3,823. Prime factorization of 7407 in exponential form is:

7407 = 32×8231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7413.

LCM(7407,7413) = 32×71×3531×8231
LCM(7407,7413) = 18302697

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1, 3, 9, 823, 2469, 7407

Factors of 7413

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

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

Least Common Multiple of 7407 and 7413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7407 and 7413, than apply into the LCM equation.

GCF(7407,7413) = 3
LCM(7407,7413) = ( 7407 × 7413) / 3
LCM(7407,7413) = 54908091 / 3
LCM(7407,7413) = 18302697

Properties of LCM 7407 and 7413

(i) The LCM of 7413 and 7407 is associative

LCM of 7407 and 7413 = LCM of 7413 and 7407

Related Least Common Multiples of 7407

Related Least Common Multiples of 7413

Frequently Asked Questions on LCM of 7407 and 7413

1. What is the LCM of 7407 and 7413?

Answer: LCM of 7407 and 7413 is 18302697.

2. What are the Factors of 7407?

Answer: Factors of 7407 are 1, 3, 9, 823, 2469, 7407. There are 6 integers that are factors of 7407. The greatest factor of 7407 is 7407.

3. 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.

4. How to Find the LCM of 7407 and 7413?

Answer:

Least Common Multiple of 7407 and 7413 = 18302697

Step 1: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 2: Find the prime factorization of 7413

7413 = 3 x 7 x 353

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

LCM = 18302697 = 3 x 3 x 7 x 353 x 823

Step 4: Therefore, the least common multiple of 7407 and 7413 is 18302697.