Least Common Multiple of 351 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 351 and 357 the smallest integer that is 41769 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 357 is 41769.

LCM(351,357) = 41769

LCM of 351 and 357

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

LCM of:
and

Least Common Multiple of 351 and 357

LCM of 351 and 357 is 41769

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 357. First we will calculate the prime factors of 351 and 357.

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

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 351 and 357.

LCM(351,357) = 33×71×131×171
LCM(351,357) = 41769

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 351 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 351 and 357, than apply into the LCM equation.

GCF(351,357) = 3
LCM(351,357) = ( 351 × 357) / 3
LCM(351,357) = 125307 / 3
LCM(351,357) = 41769

Properties of LCM 351 and 357

(i) The LCM of 357 and 351 is associative

LCM of 351 and 357 = LCM of 357 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 351 and 357

1. What is the LCM of 351 and 357?

Answer: LCM of 351 and 357 is 41769.

2. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

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 351 and 357?

Answer:

Least Common Multiple of 351 and 357 = 41769

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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 = 41769 = 3 x 3 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 351 and 357 is 41769.