Least Common Multiple of 344 and 351

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 351 the smallest integer that is 120744 that is divisible by both numbers.

Least Common Multiple (LCM) of 344 and 351 is 120744.

LCM(344,351) = 120744

LCM of 344 and 351

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

LCM of:
and

Least Common Multiple of 344 and 351

LCM of 344 and 351 is 120744

Least common multiple can be found by multiplying the highest exponent prime factors of 344 and 351. First we will calculate the prime factors of 344 and 351.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 344 and 351.

LCM(344,351) = 23×33×131×431
LCM(344,351) = 120744

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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Least Common Multiple of 344 and 351 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 351, than apply into the LCM equation.

GCF(344,351) = 1
LCM(344,351) = ( 344 × 351) / 1
LCM(344,351) = 120744 / 1
LCM(344,351) = 120744

Properties of LCM 344 and 351

(i) The LCM of 351 and 344 is associative

LCM of 344 and 351 = LCM of 351 and 344

Related Least Common Multiples of 344

Related Least Common Multiples of 351

Frequently Asked Questions on LCM of 344 and 351

1. What is the LCM of 344 and 351?

Answer: LCM of 344 and 351 is 120744.

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 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.

4. How to Find the LCM of 344 and 351?

Answer:

Least Common Multiple of 344 and 351 = 120744

Step 1: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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

LCM = 120744 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 43

Step 4: Therefore, the least common multiple of 344 and 351 is 120744.