Least Common Multiple of 364 and 369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 364 and 369 the smallest integer that is 134316 that is divisible by both numbers.

Least Common Multiple (LCM) of 364 and 369 is 134316.

LCM(364,369) = 134316

LCM of 364 and 369

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

LCM of:
and

Least Common Multiple of 364 and 369

LCM of 364 and 369 is 134316

Least common multiple can be found by multiplying the highest exponent prime factors of 364 and 369. First we will calculate the prime factors of 364 and 369.

Prime Factorization of 364


2 364
2 182
7 91
13 13
1

Prime factors of 364 are 2, 7,13. Prime factorization of 364 in exponential form is:

364 = 22×71×131

Prime Factorization of 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 364 and 369.

LCM(364,369) = 22×32×71×131×411
LCM(364,369) = 134316

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Least Common Multiple of 364 and 369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 364 and 369, than apply into the LCM equation.

GCF(364,369) = 1
LCM(364,369) = ( 364 × 369) / 1
LCM(364,369) = 134316 / 1
LCM(364,369) = 134316

Properties of LCM 364 and 369

(i) The LCM of 369 and 364 is associative

LCM of 364 and 369 = LCM of 369 and 364

Related Least Common Multiples of 364

Related Least Common Multiples of 369

Frequently Asked Questions on LCM of 364 and 369

1. What is the LCM of 364 and 369?

Answer: LCM of 364 and 369 is 134316.

2. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

3. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

4. How to Find the LCM of 364 and 369?

Answer:

Least Common Multiple of 364 and 369 = 134316

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 369

369 = 3 x 3 x 41

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

LCM = 134316 = 2 x 2 x 3 x 3 x 7 x 13 x 41

Step 4: Therefore, the least common multiple of 364 and 369 is 134316.