Least Common Multiple of 7396 and 7402

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 7402 the smallest integer that is 27372596 that is divisible by both numbers.

Least Common Multiple (LCM) of 7396 and 7402 is 27372596.

LCM(7396,7402) = 27372596

LCM of 7396 and 7402

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

LCM of:
and

Least Common Multiple of 7396 and 7402

LCM of 7396 and 7402 is 27372596

Least common multiple can be found by multiplying the highest exponent prime factors of 7396 and 7402. First we will calculate the prime factors of 7396 and 7402.

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 7402


2 7402
3701 3701
1

Prime factors of 7402 are 2,3701. Prime factorization of 7402 in exponential form is:

7402 = 21×37011

Now multiplying the highest exponent prime factors to calculate the LCM of 7396 and 7402.

LCM(7396,7402) = 22×432×37011
LCM(7396,7402) = 27372596

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 7402

List of positive integer factors of 7402 that divides 7402 without a remainder.

1, 2, 3701, 7402

Least Common Multiple of 7396 and 7402 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 7402, than apply into the LCM equation.

GCF(7396,7402) = 2
LCM(7396,7402) = ( 7396 × 7402) / 2
LCM(7396,7402) = 54745192 / 2
LCM(7396,7402) = 27372596

Properties of LCM 7396 and 7402

(i) The LCM of 7402 and 7396 is associative

LCM of 7396 and 7402 = LCM of 7402 and 7396

Related Least Common Multiples of 7396

Related Least Common Multiples of 7402

Frequently Asked Questions on LCM of 7396 and 7402

1. What is the LCM of 7396 and 7402?

Answer: LCM of 7396 and 7402 is 27372596.

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 7402?

Answer: Factors of 7402 are 1, 2, 3701, 7402. There are 4 integers that are factors of 7402. The greatest factor of 7402 is 7402.

4. How to Find the LCM of 7396 and 7402?

Answer:

Least Common Multiple of 7396 and 7402 = 27372596

Step 1: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

Step 2: Find the prime factorization of 7402

7402 = 2 x 3701

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

LCM = 27372596 = 2 x 2 x 43 x 43 x 3701

Step 4: Therefore, the least common multiple of 7396 and 7402 is 27372596.