Least Common Multiple of 7390 and 7396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7390 and 7396 the smallest integer that is 27328220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7390 and 7396 is 27328220.

LCM(7390,7396) = 27328220

LCM of 7390 and 7396

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

LCM of:
and

Least Common Multiple of 7390 and 7396

LCM of 7390 and 7396 is 27328220

Least common multiple can be found by multiplying the highest exponent prime factors of 7390 and 7396. First we will calculate the prime factors of 7390 and 7396.

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2, 5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7390 and 7396.

LCM(7390,7396) = 22×51×432×7391
LCM(7390,7396) = 27328220

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1, 2, 5, 10, 739, 1478, 3695, 7390

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

Least Common Multiple of 7390 and 7396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7390 and 7396, than apply into the LCM equation.

GCF(7390,7396) = 2
LCM(7390,7396) = ( 7390 × 7396) / 2
LCM(7390,7396) = 54656440 / 2
LCM(7390,7396) = 27328220

Properties of LCM 7390 and 7396

(i) The LCM of 7396 and 7390 is associative

LCM of 7390 and 7396 = LCM of 7396 and 7390

Related Least Common Multiples of 7390

Related Least Common Multiples of 7396

Frequently Asked Questions on LCM of 7390 and 7396

1. What is the LCM of 7390 and 7396?

Answer: LCM of 7390 and 7396 is 27328220.

2. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

3. 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.

4. How to Find the LCM of 7390 and 7396?

Answer:

Least Common Multiple of 7390 and 7396 = 27328220

Step 1: Find the prime factorization of 7390

7390 = 2 x 5 x 739

Step 2: Find the prime factorization of 7396

7396 = 2 x 2 x 43 x 43

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

LCM = 27328220 = 2 x 2 x 5 x 43 x 43 x 739

Step 4: Therefore, the least common multiple of 7390 and 7396 is 27328220.