Least Common Multiple of 353 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 353 and 358 the smallest integer that is 126374 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 358 is 126374.

LCM(353,358) = 126374

LCM of 353 and 358

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

LCM of:
and

Least Common Multiple of 353 and 358

LCM of 353 and 358 is 126374

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 358. First we will calculate the prime factors of 353 and 358.

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 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 353 and 358.

LCM(353,358) = 21×1791×3531
LCM(353,358) = 126374

Factors of 353

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

1, 353

Factors of 358

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

1, 2, 179, 358

Least Common Multiple of 353 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 353 and 358, than apply into the LCM equation.

GCF(353,358) = 1
LCM(353,358) = ( 353 × 358) / 1
LCM(353,358) = 126374 / 1
LCM(353,358) = 126374

Properties of LCM 353 and 358

(i) The LCM of 358 and 353 is associative

LCM of 353 and 358 = LCM of 358 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 358

Frequently Asked Questions on LCM of 353 and 358

1. What is the LCM of 353 and 358?

Answer: LCM of 353 and 358 is 126374.

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 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 353 and 358?

Answer:

Least Common Multiple of 353 and 358 = 126374

Step 1: Find the prime factorization of 353

353 = 353

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 = 126374 = 2 x 179 x 353

Step 4: Therefore, the least common multiple of 353 and 358 is 126374.