Least Common Multiple of 358 and 363

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 363 the smallest integer that is 129954 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 363 is 129954.

LCM(358,363) = 129954

LCM of 358 and 363

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

LCM of:
and

Least Common Multiple of 358 and 363

LCM of 358 and 363 is 129954

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 363. First we will calculate the prime factors of 358 and 363.

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 363


3 363
11 121
11 11
1

Prime factors of 363 are 3,11. Prime factorization of 363 in exponential form is:

363 = 31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 358 and 363.

LCM(358,363) = 21×31×112×1791
LCM(358,363) = 129954

Factors of 358

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

1, 2, 179, 358

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Least Common Multiple of 358 and 363 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 363, than apply into the LCM equation.

GCF(358,363) = 1
LCM(358,363) = ( 358 × 363) / 1
LCM(358,363) = 129954 / 1
LCM(358,363) = 129954

Properties of LCM 358 and 363

(i) The LCM of 363 and 358 is associative

LCM of 358 and 363 = LCM of 363 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 363

Frequently Asked Questions on LCM of 358 and 363

1. What is the LCM of 358 and 363?

Answer: LCM of 358 and 363 is 129954.

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 363?

Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.

4. How to Find the LCM of 358 and 363?

Answer:

Least Common Multiple of 358 and 363 = 129954

Step 1: Find the prime factorization of 358

358 = 2 x 179

Step 2: Find the prime factorization of 363

363 = 3 x 11 x 11

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

LCM = 129954 = 2 x 3 x 11 x 11 x 179

Step 4: Therefore, the least common multiple of 358 and 363 is 129954.