Least Common Multiple of 342 and 349

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 349 the smallest integer that is 119358 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 349 is 119358.

LCM(342,349) = 119358

LCM of 342 and 349

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

LCM of:
and

Least Common Multiple of 342 and 349

LCM of 342 and 349 is 119358

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 349. First we will calculate the prime factors of 342 and 349.

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 349


349 349
1

Prime factors of 349 are 349. Prime factorization of 349 in exponential form is:

349 = 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 342 and 349.

LCM(342,349) = 21×32×191×3491
LCM(342,349) = 119358

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 349

List of positive integer factors of 349 that divides 349 without a remainder.

1, 349

Least Common Multiple of 342 and 349 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 349, than apply into the LCM equation.

GCF(342,349) = 1
LCM(342,349) = ( 342 × 349) / 1
LCM(342,349) = 119358 / 1
LCM(342,349) = 119358

Properties of LCM 342 and 349

(i) The LCM of 349 and 342 is associative

LCM of 342 and 349 = LCM of 349 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 349

Frequently Asked Questions on LCM of 342 and 349

1. What is the LCM of 342 and 349?

Answer: LCM of 342 and 349 is 119358.

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 349?

Answer: Factors of 349 are 1, 349. There are 2 integers that are factors of 349. The greatest factor of 349 is 349.

4. How to Find the LCM of 342 and 349?

Answer:

Least Common Multiple of 342 and 349 = 119358

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 349

349 = 349

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

LCM = 119358 = 2 x 3 x 3 x 19 x 349

Step 4: Therefore, the least common multiple of 342 and 349 is 119358.