Least Common Multiple of 361 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 361 and 368 the smallest integer that is 132848 that is divisible by both numbers.

Least Common Multiple (LCM) of 361 and 368 is 132848.

LCM(361,368) = 132848

LCM of 361 and 368

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

LCM of:
and

Least Common Multiple of 361 and 368

LCM of 361 and 368 is 132848

Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 368. First we will calculate the prime factors of 361 and 368.

Prime Factorization of 361


19 361
19 19
1

Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:

361 = 192

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 361 and 368.

LCM(361,368) = 24×192×231
LCM(361,368) = 132848

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1, 19, 361

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 361 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 361 and 368, than apply into the LCM equation.

GCF(361,368) = 1
LCM(361,368) = ( 361 × 368) / 1
LCM(361,368) = 132848 / 1
LCM(361,368) = 132848

Properties of LCM 361 and 368

(i) The LCM of 368 and 361 is associative

LCM of 361 and 368 = LCM of 368 and 361

Related Least Common Multiples of 361

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 361 and 368

1. What is the LCM of 361 and 368?

Answer: LCM of 361 and 368 is 132848.

2. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

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 361 and 368?

Answer:

Least Common Multiple of 361 and 368 = 132848

Step 1: Find the prime factorization of 361

361 = 19 x 19

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 = 132848 = 2 x 2 x 2 x 2 x 19 x 19 x 23

Step 4: Therefore, the least common multiple of 361 and 368 is 132848.