Least Common Multiple of 344 and 348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 344 and 348 the smallest integer that is 29928 that is divisible by both numbers.

Least Common Multiple (LCM) of 344 and 348 is 29928.

LCM(344,348) = 29928

LCM of 344 and 348

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

LCM of:
and

Least Common Multiple of 344 and 348

LCM of 344 and 348 is 29928

Least common multiple can be found by multiplying the highest exponent prime factors of 344 and 348. First we will calculate the prime factors of 344 and 348.

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 344 and 348.

LCM(344,348) = 23×31×291×431
LCM(344,348) = 29928

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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

Least Common Multiple of 344 and 348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 344 and 348, than apply into the LCM equation.

GCF(344,348) = 4
LCM(344,348) = ( 344 × 348) / 4
LCM(344,348) = 119712 / 4
LCM(344,348) = 29928

Properties of LCM 344 and 348

(i) The LCM of 348 and 344 is associative

LCM of 344 and 348 = LCM of 348 and 344

Related Least Common Multiples of 344

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 344 and 348

1. What is the LCM of 344 and 348?

Answer: LCM of 344 and 348 is 29928.

2. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

3. 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.

4. How to Find the LCM of 344 and 348?

Answer:

Least Common Multiple of 344 and 348 = 29928

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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

LCM = 29928 = 2 x 2 x 2 x 3 x 29 x 43

Step 4: Therefore, the least common multiple of 344 and 348 is 29928.