Least Common Multiple of 342 and 344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 342 and 344 the smallest integer that is 58824 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 344 is 58824.

LCM(342,344) = 58824

LCM of 342 and 344

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

LCM of:
and

Least Common Multiple of 342 and 344

LCM of 342 and 344 is 58824

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 344. First we will calculate the prime factors of 342 and 344.

Prime Factorization of 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2, 3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 342 and 344.

LCM(342,344) = 23×32×191×431
LCM(342,344) = 58824

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Factors of 344

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

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

Least Common Multiple of 342 and 344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 342 and 344, than apply into the LCM equation.

GCF(342,344) = 2
LCM(342,344) = ( 342 × 344) / 2
LCM(342,344) = 117648 / 2
LCM(342,344) = 58824

Properties of LCM 342 and 344

(i) The LCM of 344 and 342 is associative

LCM of 342 and 344 = LCM of 344 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 342 and 344

1. What is the LCM of 342 and 344?

Answer: LCM of 342 and 344 is 58824.

2. What are the Factors of 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

3. 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.

4. How to Find the LCM of 342 and 344?

Answer:

Least Common Multiple of 342 and 344 = 58824

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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

LCM = 58824 = 2 x 2 x 2 x 3 x 3 x 19 x 43

Step 4: Therefore, the least common multiple of 342 and 344 is 58824.