Least Common Multiple of 351 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 351 and 358 the smallest integer that is 125658 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 358 is 125658.

LCM(351,358) = 125658

LCM of 351 and 358

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

LCM of:
and

Least Common Multiple of 351 and 358

LCM of 351 and 358 is 125658

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 358. First we will calculate the prime factors of 351 and 358.

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 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 351 and 358.

LCM(351,358) = 21×33×131×1791
LCM(351,358) = 125658

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 358

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

1, 2, 179, 358

Least Common Multiple of 351 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 351 and 358, than apply into the LCM equation.

GCF(351,358) = 1
LCM(351,358) = ( 351 × 358) / 1
LCM(351,358) = 125658 / 1
LCM(351,358) = 125658

Properties of LCM 351 and 358

(i) The LCM of 358 and 351 is associative

LCM of 351 and 358 = LCM of 358 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 358

Frequently Asked Questions on LCM of 351 and 358

1. What is the LCM of 351 and 358?

Answer: LCM of 351 and 358 is 125658.

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 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 351 and 358?

Answer:

Least Common Multiple of 351 and 358 = 125658

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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 = 125658 = 2 x 3 x 3 x 3 x 13 x 179

Step 4: Therefore, the least common multiple of 351 and 358 is 125658.