Least Common Multiple of 367 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 367 and 369 the smallest integer that is 135423 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 369 is 135423.

LCM(367,369) = 135423

LCM of 367 and 369

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

LCM of:
and

Least Common Multiple of 367 and 369

LCM of 367 and 369 is 135423

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 369. First we will calculate the prime factors of 367 and 369.

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

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 367 and 369.

LCM(367,369) = 32×411×3671
LCM(367,369) = 135423

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

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 367 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 367 and 369, than apply into the LCM equation.

GCF(367,369) = 1
LCM(367,369) = ( 367 × 369) / 1
LCM(367,369) = 135423 / 1
LCM(367,369) = 135423

Properties of LCM 367 and 369

(i) The LCM of 369 and 367 is associative

LCM of 367 and 369 = LCM of 369 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 369

Frequently Asked Questions on LCM of 367 and 369

1. What is the LCM of 367 and 369?

Answer: LCM of 367 and 369 is 135423.

2. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

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 367 and 369?

Answer:

Least Common Multiple of 367 and 369 = 135423

Step 1: Find the prime factorization of 367

367 = 367

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 = 135423 = 3 x 3 x 41 x 367

Step 4: Therefore, the least common multiple of 367 and 369 is 135423.