Least Common Multiple of 349 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 349 and 353 the smallest integer that is 123197 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 353 is 123197.

LCM(349,353) = 123197

LCM of 349 and 353

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

LCM of:
and

Least Common Multiple of 349 and 353

LCM of 349 and 353 is 123197

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 353. First we will calculate the prime factors of 349 and 353.

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 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 349 and 353.

LCM(349,353) = 3491×3531
LCM(349,353) = 123197

Factors of 349

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

1, 349

Factors of 353

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

1, 353

Least Common Multiple of 349 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 349 and 353, than apply into the LCM equation.

GCF(349,353) = 1
LCM(349,353) = ( 349 × 353) / 1
LCM(349,353) = 123197 / 1
LCM(349,353) = 123197

Properties of LCM 349 and 353

(i) The LCM of 353 and 349 is associative

LCM of 349 and 353 = LCM of 353 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 349 and 353

1. What is the LCM of 349 and 353?

Answer: LCM of 349 and 353 is 123197.

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 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 349 and 353?

Answer:

Least Common Multiple of 349 and 353 = 123197

Step 1: Find the prime factorization of 349

349 = 349

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 = 123197 = 349 x 353

Step 4: Therefore, the least common multiple of 349 and 353 is 123197.