Least Common Multiple of 367 and 368

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 368 the smallest integer that is 135056 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 368 is 135056.

LCM(367,368) = 135056

LCM of 367 and 368

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

LCM of:
and

Least Common Multiple of 367 and 368

LCM of 367 and 368 is 135056

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 368. First we will calculate the prime factors of 367 and 368.

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 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Now multiplying the highest exponent prime factors to calculate the LCM of 367 and 368.

LCM(367,368) = 24×231×3671
LCM(367,368) = 135056

Factors of 367

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

1, 367

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Least Common Multiple of 367 and 368 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 368, than apply into the LCM equation.

GCF(367,368) = 1
LCM(367,368) = ( 367 × 368) / 1
LCM(367,368) = 135056 / 1
LCM(367,368) = 135056

Properties of LCM 367 and 368

(i) The LCM of 368 and 367 is associative

LCM of 367 and 368 = LCM of 368 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 367 and 368

1. What is the LCM of 367 and 368?

Answer: LCM of 367 and 368 is 135056.

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 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. How to Find the LCM of 367 and 368?

Answer:

Least Common Multiple of 367 and 368 = 135056

Step 1: Find the prime factorization of 367

367 = 367

Step 2: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

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

LCM = 135056 = 2 x 2 x 2 x 2 x 23 x 367

Step 4: Therefore, the least common multiple of 367 and 368 is 135056.