Least Common Multiple of 349 and 352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 349 and 352 the smallest integer that is 122848 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 352 is 122848.

LCM(349,352) = 122848

LCM of 349 and 352

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

LCM of:
and

Least Common Multiple of 349 and 352

LCM of 349 and 352 is 122848

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 352. First we will calculate the prime factors of 349 and 352.

Prime Factorization of 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 349 and 352.

LCM(349,352) = 25×111×3491
LCM(349,352) = 122848

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1, 349

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

Least Common Multiple of 349 and 352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 349 and 352, than apply into the LCM equation.

GCF(349,352) = 1
LCM(349,352) = ( 349 × 352) / 1
LCM(349,352) = 122848 / 1
LCM(349,352) = 122848

Properties of LCM 349 and 352

(i) The LCM of 352 and 349 is associative

LCM of 349 and 352 = LCM of 352 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 349 and 352

1. What is the LCM of 349 and 352?

Answer: LCM of 349 and 352 is 122848.

2. What are the Factors of 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

3. 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.

4. How to Find the LCM of 349 and 352?

Answer:

Least Common Multiple of 349 and 352 = 122848

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 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 = 122848 = 2 x 2 x 2 x 2 x 2 x 11 x 349

Step 4: Therefore, the least common multiple of 349 and 352 is 122848.