Least Common Multiple of 7364 and 7369

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 7369 the smallest integer that is 54265316 that is divisible by both numbers.

Least Common Multiple (LCM) of 7364 and 7369 is 54265316.

LCM(7364,7369) = 54265316

LCM of 7364 and 7369

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

LCM of:
and

Least Common Multiple of 7364 and 7369

LCM of 7364 and 7369 is 54265316

Least common multiple can be found by multiplying the highest exponent prime factors of 7364 and 7369. First we will calculate the prime factors of 7364 and 7369.

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 7369


7369 7369
1

Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:

7369 = 73691

Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7369.

LCM(7364,7369) = 22×71×2631×73691
LCM(7364,7369) = 54265316

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 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1, 7369

Least Common Multiple of 7364 and 7369 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 7369, than apply into the LCM equation.

GCF(7364,7369) = 1
LCM(7364,7369) = ( 7364 × 7369) / 1
LCM(7364,7369) = 54265316 / 1
LCM(7364,7369) = 54265316

Properties of LCM 7364 and 7369

(i) The LCM of 7369 and 7364 is associative

LCM of 7364 and 7369 = LCM of 7369 and 7364

Related Least Common Multiples of 7364

Related Least Common Multiples of 7369

Frequently Asked Questions on LCM of 7364 and 7369

1. What is the LCM of 7364 and 7369?

Answer: LCM of 7364 and 7369 is 54265316.

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 7369?

Answer: Factors of 7369 are 1, 7369. There are 2 integers that are factors of 7369. The greatest factor of 7369 is 7369.

4. How to Find the LCM of 7364 and 7369?

Answer:

Least Common Multiple of 7364 and 7369 = 54265316

Step 1: Find the prime factorization of 7364

7364 = 2 x 2 x 7 x 263

Step 2: Find the prime factorization of 7369

7369 = 7369

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

LCM = 54265316 = 2 x 2 x 7 x 263 x 7369

Step 4: Therefore, the least common multiple of 7364 and 7369 is 54265316.