Least Common Multiple of 7364 and 7371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7364 and 7371 the smallest integer that is 7754292 that is divisible by both numbers.

Least Common Multiple (LCM) of 7364 and 7371 is 7754292.

LCM(7364,7371) = 7754292

LCM of 7364 and 7371

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

LCM of:
and

Least Common Multiple of 7364 and 7371

LCM of 7364 and 7371 is 7754292

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7371. First we will calculate the prime factors of 7364 and 7371.

Prime Factorization of 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

Prime Factorization of 7371


3 7371
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 7371 are 3, 7,13. Prime factorization of 7371 in exponential form is:

7371 = 34×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7371.

LCM(7364,7371) = 22×34×71×131×2631
LCM(7364,7371) = 7754292

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364

Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371

Least Common Multiple of 7364 and 7371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7371, than apply into the LCM equation.

GCF(7364,7371) = 7
LCM(7364,7371) = ( 7364 × 7371) / 7
LCM(7364,7371) = 54280044 / 7
LCM(7364,7371) = 7754292

Properties of LCM 7364 and 7371

(i) The LCM of 7371 and 7364 is associative

LCM of 7364 and 7371 = LCM of 7371 and 7364

Related Least Common Multiples of 7364

Related Least Common Multiples of 7371

Frequently Asked Questions on LCM of 7364 and 7371

1. What is the LCM of 7364 and 7371?

Answer: LCM of 7364 and 7371 is 7754292.

2. What are the Factors of 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

3. What are the Factors of 7371?

Answer: Factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371. There are 20 integers that are factors of 7371. The greatest factor of 7371 is 7371.

4. How to Find the LCM of 7364 and 7371?

Answer:

Least Common Multiple of 7364 and 7371 = 7754292

Step 1: Find the prime factorization of 7364

7364 = 2 x 2 x 7 x 263

Step 2: Find the prime factorization of 7371

7371 = 3 x 3 x 3 x 3 x 7 x 13

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

LCM = 7754292 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 13 x 263

Step 4: Therefore, the least common multiple of 7364 and 7371 is 7754292.