Least Common Multiple of 356 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 356 and 363 the smallest integer that is 129228 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 363 is 129228.

LCM(356,363) = 129228

LCM of 356 and 363

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

LCM of:
and

Least Common Multiple of 356 and 363

LCM of 356 and 363 is 129228

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 363. First we will calculate the prime factors of 356 and 363.

Prime Factorization of 356


2 356
2 178
89 89
1

Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:

356 = 22×891

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 356 and 363.

LCM(356,363) = 22×31×112×891
LCM(356,363) = 129228

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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 356 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 356 and 363, than apply into the LCM equation.

GCF(356,363) = 1
LCM(356,363) = ( 356 × 363) / 1
LCM(356,363) = 129228 / 1
LCM(356,363) = 129228

Properties of LCM 356 and 363

(i) The LCM of 363 and 356 is associative

LCM of 356 and 363 = LCM of 363 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 363

Frequently Asked Questions on LCM of 356 and 363

1. What is the LCM of 356 and 363?

Answer: LCM of 356 and 363 is 129228.

2. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

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 356 and 363?

Answer:

Least Common Multiple of 356 and 363 = 129228

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

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 = 129228 = 2 x 2 x 3 x 11 x 11 x 89

Step 4: Therefore, the least common multiple of 356 and 363 is 129228.