Least Common Multiple of 7396 and 7401

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 7401 the smallest integer that is 54737796 that is divisible by both numbers.

Least Common Multiple (LCM) of 7396 and 7401 is 54737796.

LCM(7396,7401) = 54737796

LCM of 7396 and 7401

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

LCM of:
and

Least Common Multiple of 7396 and 7401

LCM of 7396 and 7401 is 54737796

Least common multiple can be found by multiplying the highest exponent prime factors of 7396 and 7401. First we will calculate the prime factors of 7396 and 7401.

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 7401


3 7401
2467 2467
1

Prime factors of 7401 are 3,2467. Prime factorization of 7401 in exponential form is:

7401 = 31×24671

Now multiplying the highest exponent prime factors to calculate the LCM of 7396 and 7401.

LCM(7396,7401) = 22×31×432×24671
LCM(7396,7401) = 54737796

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 7401

List of positive integer factors of 7401 that divides 7401 without a remainder.

1, 3, 2467, 7401

Least Common Multiple of 7396 and 7401 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 7401, than apply into the LCM equation.

GCF(7396,7401) = 1
LCM(7396,7401) = ( 7396 × 7401) / 1
LCM(7396,7401) = 54737796 / 1
LCM(7396,7401) = 54737796

Properties of LCM 7396 and 7401

(i) The LCM of 7401 and 7396 is associative

LCM of 7396 and 7401 = LCM of 7401 and 7396

Related Least Common Multiples of 7396

Related Least Common Multiples of 7401

Frequently Asked Questions on LCM of 7396 and 7401

1. What is the LCM of 7396 and 7401?

Answer: LCM of 7396 and 7401 is 54737796.

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 7401?

Answer: Factors of 7401 are 1, 3, 2467, 7401. There are 4 integers that are factors of 7401. The greatest factor of 7401 is 7401.

4. How to Find the LCM of 7396 and 7401?

Answer:

Least Common Multiple of 7396 and 7401 = 54737796

Step 1: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

Step 2: Find the prime factorization of 7401

7401 = 3 x 2467

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

LCM = 54737796 = 2 x 2 x 3 x 43 x 43 x 2467

Step 4: Therefore, the least common multiple of 7396 and 7401 is 54737796.