Least Common Multiple of 357 and 358

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 358 the smallest integer that is 127806 that is divisible by both numbers.

Least Common Multiple (LCM) of 357 and 358 is 127806.

LCM(357,358) = 127806

LCM of 357 and 358

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

LCM of:
and

Least Common Multiple of 357 and 358

LCM of 357 and 358 is 127806

Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 358. First we will calculate the prime factors of 357 and 358.

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 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 357 and 358.

LCM(357,358) = 21×31×71×171×1791
LCM(357,358) = 127806

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 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Least Common Multiple of 357 and 358 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 358, than apply into the LCM equation.

GCF(357,358) = 1
LCM(357,358) = ( 357 × 358) / 1
LCM(357,358) = 127806 / 1
LCM(357,358) = 127806

Properties of LCM 357 and 358

(i) The LCM of 358 and 357 is associative

LCM of 357 and 358 = LCM of 358 and 357

Related Least Common Multiples of 357

Related Least Common Multiples of 358

Frequently Asked Questions on LCM of 357 and 358

1. What is the LCM of 357 and 358?

Answer: LCM of 357 and 358 is 127806.

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 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

4. How to Find the LCM of 357 and 358?

Answer:

Least Common Multiple of 357 and 358 = 127806

Step 1: Find the prime factorization of 357

357 = 3 x 7 x 17

Step 2: Find the prime factorization of 358

358 = 2 x 179

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

LCM = 127806 = 2 x 3 x 7 x 17 x 179

Step 4: Therefore, the least common multiple of 357 and 358 is 127806.