Least Common Multiple of 364 and 367

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 367 the smallest integer that is 133588 that is divisible by both numbers.

Least Common Multiple (LCM) of 364 and 367 is 133588.

LCM(364,367) = 133588

LCM of 364 and 367

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

LCM of:
and

Least Common Multiple of 364 and 367

LCM of 364 and 367 is 133588

Least common multiple can be found by multiplying the highest exponent prime factors of 364 and 367. First we will calculate the prime factors of 364 and 367.

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 367


367 367
1

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

367 = 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 364 and 367.

LCM(364,367) = 22×71×131×3671
LCM(364,367) = 133588

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 367

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

1, 367

Least Common Multiple of 364 and 367 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 367, than apply into the LCM equation.

GCF(364,367) = 1
LCM(364,367) = ( 364 × 367) / 1
LCM(364,367) = 133588 / 1
LCM(364,367) = 133588

Properties of LCM 364 and 367

(i) The LCM of 367 and 364 is associative

LCM of 364 and 367 = LCM of 367 and 364

Related Least Common Multiples of 364

Related Least Common Multiples of 367

Frequently Asked Questions on LCM of 364 and 367

1. What is the LCM of 364 and 367?

Answer: LCM of 364 and 367 is 133588.

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 367?

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

4. How to Find the LCM of 364 and 367?

Answer:

Least Common Multiple of 364 and 367 = 133588

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 367

367 = 367

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

LCM = 133588 = 2 x 2 x 7 x 13 x 367

Step 4: Therefore, the least common multiple of 364 and 367 is 133588.