Least Common Multiple of 349 and 357

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 357 the smallest integer that is 124593 that is divisible by both numbers.

Least Common Multiple (LCM) of 349 and 357 is 124593.

LCM(349,357) = 124593

LCM of 349 and 357

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

LCM of:
and

Least Common Multiple of 349 and 357

LCM of 349 and 357 is 124593

Least common multiple can be found by multiplying the highest exponent prime factors of 349 and 357. First we will calculate the prime factors of 349 and 357.

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 357


3 357
7 119
17 17
1

Prime factors of 357 are 3, 7,17. Prime factorization of 357 in exponential form is:

357 = 31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 349 and 357.

LCM(349,357) = 31×71×171×3491
LCM(349,357) = 124593

Factors of 349

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

1, 349

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Least Common Multiple of 349 and 357 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 357, than apply into the LCM equation.

GCF(349,357) = 1
LCM(349,357) = ( 349 × 357) / 1
LCM(349,357) = 124593 / 1
LCM(349,357) = 124593

Properties of LCM 349 and 357

(i) The LCM of 357 and 349 is associative

LCM of 349 and 357 = LCM of 357 and 349

Related Least Common Multiples of 349

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 349 and 357

1. What is the LCM of 349 and 357?

Answer: LCM of 349 and 357 is 124593.

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 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

4. How to Find the LCM of 349 and 357?

Answer:

Least Common Multiple of 349 and 357 = 124593

Step 1: Find the prime factorization of 349

349 = 349

Step 2: Find the prime factorization of 357

357 = 3 x 7 x 17

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

LCM = 124593 = 3 x 7 x 17 x 349

Step 4: Therefore, the least common multiple of 349 and 357 is 124593.