Least Common Multiple of 348 and 353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 348 and 353 the smallest integer that is 122844 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 353 is 122844.

LCM(348,353) = 122844

LCM of 348 and 353

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

LCM of:
and

Least Common Multiple of 348 and 353

LCM of 348 and 353 is 122844

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 353. First we will calculate the prime factors of 348 and 353.

Prime Factorization of 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 348 and 353.

LCM(348,353) = 22×31×291×3531
LCM(348,353) = 122844

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Factors of 353

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

1, 353

Least Common Multiple of 348 and 353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 348 and 353, than apply into the LCM equation.

GCF(348,353) = 1
LCM(348,353) = ( 348 × 353) / 1
LCM(348,353) = 122844 / 1
LCM(348,353) = 122844

Properties of LCM 348 and 353

(i) The LCM of 353 and 348 is associative

LCM of 348 and 353 = LCM of 353 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 353

Frequently Asked Questions on LCM of 348 and 353

1. What is the LCM of 348 and 353?

Answer: LCM of 348 and 353 is 122844.

2. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

3. 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.

4. How to Find the LCM of 348 and 353?

Answer:

Least Common Multiple of 348 and 353 = 122844

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 353

353 = 353

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

LCM = 122844 = 2 x 2 x 3 x 29 x 353

Step 4: Therefore, the least common multiple of 348 and 353 is 122844.