Least Common Multiple of 7396 and 7403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7396 and 7403 the smallest integer that is 54752588 that is divisible by both numbers.

Least Common Multiple (LCM) of 7396 and 7403 is 54752588.

LCM(7396,7403) = 54752588

LCM of 7396 and 7403

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

LCM of:
and

Least Common Multiple of 7396 and 7403

LCM of 7396 and 7403 is 54752588

Least common multiple can be found by multiplying the highest exponent prime factors of 7396 and 7403. First we will calculate the prime factors of 7396 and 7403.

Prime Factorization of 7396


2 7396
2 3698
43 1849
43 43
1

Prime factors of 7396 are 2,43. Prime factorization of 7396 in exponential form is:

7396 = 22×432

Prime Factorization of 7403


11 7403
673 673
1

Prime factors of 7403 are 11,673. Prime factorization of 7403 in exponential form is:

7403 = 111×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 7396 and 7403.

LCM(7396,7403) = 22×111×432×6731
LCM(7396,7403) = 54752588

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1, 2, 4, 43, 86, 172, 1849, 3698, 7396

Factors of 7403

List of positive integer factors of 7403 that divides 7403 without a remainder.

1, 11, 673, 7403

Least Common Multiple of 7396 and 7403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7396 and 7403, than apply into the LCM equation.

GCF(7396,7403) = 1
LCM(7396,7403) = ( 7396 × 7403) / 1
LCM(7396,7403) = 54752588 / 1
LCM(7396,7403) = 54752588

Properties of LCM 7396 and 7403

(i) The LCM of 7403 and 7396 is associative

LCM of 7396 and 7403 = LCM of 7403 and 7396

Related Least Common Multiples of 7396

Related Least Common Multiples of 7403

Frequently Asked Questions on LCM of 7396 and 7403

1. What is the LCM of 7396 and 7403?

Answer: LCM of 7396 and 7403 is 54752588.

2. What are the Factors of 7396?

Answer: Factors of 7396 are 1, 2, 4, 43, 86, 172, 1849, 3698, 7396. There are 9 integers that are factors of 7396. The greatest factor of 7396 is 7396.

3. What are the Factors of 7403?

Answer: Factors of 7403 are 1, 11, 673, 7403. There are 4 integers that are factors of 7403. The greatest factor of 7403 is 7403.

4. How to Find the LCM of 7396 and 7403?

Answer:

Least Common Multiple of 7396 and 7403 = 54752588

Step 1: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

Step 2: Find the prime factorization of 7403

7403 = 11 x 673

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

LCM = 54752588 = 2 x 2 x 11 x 43 x 43 x 673

Step 4: Therefore, the least common multiple of 7396 and 7403 is 54752588.