Least Common Multiple of 357 and 359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 357 and 359 the smallest integer that is 128163 that is divisible by both numbers.

Least Common Multiple (LCM) of 357 and 359 is 128163.

LCM(357,359) = 128163

LCM of 357 and 359

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

LCM of:
and

Least Common Multiple of 357 and 359

LCM of 357 and 359 is 128163

Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 359. First we will calculate the prime factors of 357 and 359.

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

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 357 and 359.

LCM(357,359) = 31×71×171×3591
LCM(357,359) = 128163

Factors of 357

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

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

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

Least Common Multiple of 357 and 359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 357 and 359, than apply into the LCM equation.

GCF(357,359) = 1
LCM(357,359) = ( 357 × 359) / 1
LCM(357,359) = 128163 / 1
LCM(357,359) = 128163

Properties of LCM 357 and 359

(i) The LCM of 359 and 357 is associative

LCM of 357 and 359 = LCM of 359 and 357

Related Least Common Multiples of 357

Related Least Common Multiples of 359

Frequently Asked Questions on LCM of 357 and 359

1. What is the LCM of 357 and 359?

Answer: LCM of 357 and 359 is 128163.

2. 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.

3. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

4. How to Find the LCM of 357 and 359?

Answer:

Least Common Multiple of 357 and 359 = 128163

Step 1: Find the prime factorization of 357

357 = 3 x 7 x 17

Step 2: Find the prime factorization of 359

359 = 359

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

LCM = 128163 = 3 x 7 x 17 x 359

Step 4: Therefore, the least common multiple of 357 and 359 is 128163.