Least Common Multiple of 353 and 355

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 355 the smallest integer that is 125315 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 355 is 125315.

LCM(353,355) = 125315

LCM of 353 and 355

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

LCM of:
and

Least Common Multiple of 353 and 355

LCM of 353 and 355 is 125315

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 355. First we will calculate the prime factors of 353 and 355.

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 355


5 355
71 71
1

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

355 = 51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 353 and 355.

LCM(353,355) = 51×711×3531
LCM(353,355) = 125315

Factors of 353

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

1, 353

Factors of 355

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

1, 5, 71, 355

Least Common Multiple of 353 and 355 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 355, than apply into the LCM equation.

GCF(353,355) = 1
LCM(353,355) = ( 353 × 355) / 1
LCM(353,355) = 125315 / 1
LCM(353,355) = 125315

Properties of LCM 353 and 355

(i) The LCM of 355 and 353 is associative

LCM of 353 and 355 = LCM of 355 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 353 and 355

1. What is the LCM of 353 and 355?

Answer: LCM of 353 and 355 is 125315.

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 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.

4. How to Find the LCM of 353 and 355?

Answer:

Least Common Multiple of 353 and 355 = 125315

Step 1: Find the prime factorization of 353

353 = 353

Step 2: Find the prime factorization of 355

355 = 5 x 71

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

LCM = 125315 = 5 x 71 x 353

Step 4: Therefore, the least common multiple of 353 and 355 is 125315.