Least Common Multiple of 358 and 361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 358 and 361 the smallest integer that is 129238 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 361 is 129238.

LCM(358,361) = 129238

LCM of 358 and 361

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

LCM of:
and

Least Common Multiple of 358 and 361

LCM of 358 and 361 is 129238

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 361. First we will calculate the prime factors of 358 and 361.

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 358 and 361.

LCM(358,361) = 21×192×1791
LCM(358,361) = 129238

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Factors of 361

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

1, 19, 361

Least Common Multiple of 358 and 361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 358 and 361, than apply into the LCM equation.

GCF(358,361) = 1
LCM(358,361) = ( 358 × 361) / 1
LCM(358,361) = 129238 / 1
LCM(358,361) = 129238

Properties of LCM 358 and 361

(i) The LCM of 361 and 358 is associative

LCM of 358 and 361 = LCM of 361 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 361

Frequently Asked Questions on LCM of 358 and 361

1. What is the LCM of 358 and 361?

Answer: LCM of 358 and 361 is 129238.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

3. 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.

4. How to Find the LCM of 358 and 361?

Answer:

Least Common Multiple of 358 and 361 = 129238

Step 1: Find the prime factorization of 358

358 = 2 x 179

Step 2: Find the prime factorization of 361

361 = 19 x 19

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

LCM = 129238 = 2 x 19 x 19 x 179

Step 4: Therefore, the least common multiple of 358 and 361 is 129238.