Least Common Multiple of 355 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 355 and 357 the smallest integer that is 126735 that is divisible by both numbers.

Least Common Multiple (LCM) of 355 and 357 is 126735.

LCM(355,357) = 126735

LCM of 355 and 357

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

LCM of:
and

Least Common Multiple of 355 and 357

LCM of 355 and 357 is 126735

Least common multiple can be found by multiplying the highest exponent prime factors of 355 and 357. First we will calculate the prime factors of 355 and 357.

Prime Factorization of 355


5 355
71 71
1

Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:

355 = 51×711

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 355 and 357.

LCM(355,357) = 31×51×71×171×711
LCM(355,357) = 126735

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 355 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 355 and 357, than apply into the LCM equation.

GCF(355,357) = 1
LCM(355,357) = ( 355 × 357) / 1
LCM(355,357) = 126735 / 1
LCM(355,357) = 126735

Properties of LCM 355 and 357

(i) The LCM of 357 and 355 is associative

LCM of 355 and 357 = LCM of 357 and 355

Related Least Common Multiples of 355

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 355 and 357

1. What is the LCM of 355 and 357?

Answer: LCM of 355 and 357 is 126735.

2. What are the Factors of 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

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 355 and 357?

Answer:

Least Common Multiple of 355 and 357 = 126735

Step 1: Find the prime factorization of 355

355 = 5 x 71

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 = 126735 = 3 x 5 x 7 x 17 x 71

Step 4: Therefore, the least common multiple of 355 and 357 is 126735.