Least Common Multiple of 352 and 353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 352 and 353 the smallest integer that is 124256 that is divisible by both numbers.

Least Common Multiple (LCM) of 352 and 353 is 124256.

LCM(352,353) = 124256

LCM of 352 and 353

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

LCM of:
and

Least Common Multiple of 352 and 353

LCM of 352 and 353 is 124256

Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 353. First we will calculate the prime factors of 352 and 353.

Prime Factorization of 352


2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 352 are 2,11. Prime factorization of 352 in exponential form is:

352 = 25×111

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 353.

LCM(352,353) = 25×111×3531
LCM(352,353) = 124256

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1, 353

Least Common Multiple of 352 and 353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 353, than apply into the LCM equation.

GCF(352,353) = 1
LCM(352,353) = ( 352 × 353) / 1
LCM(352,353) = 124256 / 1
LCM(352,353) = 124256

Properties of LCM 352 and 353

(i) The LCM of 353 and 352 is associative

LCM of 352 and 353 = LCM of 353 and 352

Related Least Common Multiples of 352

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 352 and 353

1. What is the LCM of 352 and 353?

Answer: LCM of 352 and 353 is 124256.

2. What are the Factors of 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

3. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

4. How to Find the LCM of 352 and 353?

Answer:

Least Common Multiple of 352 and 353 = 124256

Step 1: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 353

353 = 353

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

LCM = 124256 = 2 x 2 x 2 x 2 x 2 x 11 x 353

Step 4: Therefore, the least common multiple of 352 and 353 is 124256.