Least Common Multiple of 353 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 353 and 357 the smallest integer that is 126021 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 357 is 126021.

LCM(353,357) = 126021

LCM of 353 and 357

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

LCM of:
and

Least Common Multiple of 353 and 357

LCM of 353 and 357 is 126021

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 357. First we will calculate the prime factors of 353 and 357.

Prime Factorization of 353


353 353
1

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

353 = 3531

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 353 and 357.

LCM(353,357) = 31×71×171×3531
LCM(353,357) = 126021

Factors of 353

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

1, 353

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 353 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 353 and 357, than apply into the LCM equation.

GCF(353,357) = 1
LCM(353,357) = ( 353 × 357) / 1
LCM(353,357) = 126021 / 1
LCM(353,357) = 126021

Properties of LCM 353 and 357

(i) The LCM of 357 and 353 is associative

LCM of 353 and 357 = LCM of 357 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 353 and 357

1. What is the LCM of 353 and 357?

Answer: LCM of 353 and 357 is 126021.

2. 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.

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 353 and 357?

Answer:

Least Common Multiple of 353 and 357 = 126021

Step 1: Find the prime factorization of 353

353 = 353

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 = 126021 = 3 x 7 x 17 x 353

Step 4: Therefore, the least common multiple of 353 and 357 is 126021.