Least Common Multiple of 344 and 352

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 352 the smallest integer that is 15136 that is divisible by both numbers.

Least Common Multiple (LCM) of 344 and 352 is 15136.

LCM(344,352) = 15136

LCM of 344 and 352

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

LCM of:
and

Least Common Multiple of 344 and 352

LCM of 344 and 352 is 15136

Least common multiple can be found by multiplying the highest exponent prime factors of 344 and 352. First we will calculate the prime factors of 344 and 352.

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 352


2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 352 are 2,11. Prime factorization of 352 in exponential form is:

352 = 25×111

Now multiplying the highest exponent prime factors to calculate the LCM of 344 and 352.

LCM(344,352) = 25×111×431
LCM(344,352) = 15136

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 352

List of positive integer factors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Least Common Multiple of 344 and 352 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 352, than apply into the LCM equation.

GCF(344,352) = 8
LCM(344,352) = ( 344 × 352) / 8
LCM(344,352) = 121088 / 8
LCM(344,352) = 15136

Properties of LCM 344 and 352

(i) The LCM of 352 and 344 is associative

LCM of 344 and 352 = LCM of 352 and 344

Related Least Common Multiples of 344

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 344 and 352

1. What is the LCM of 344 and 352?

Answer: LCM of 344 and 352 is 15136.

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 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

4. How to Find the LCM of 344 and 352?

Answer:

Least Common Multiple of 344 and 352 = 15136

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 15136 = 2 x 2 x 2 x 2 x 2 x 11 x 43

Step 4: Therefore, the least common multiple of 344 and 352 is 15136.