Least Common Multiple of 342 and 346

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 346 the smallest integer that is 59166 that is divisible by both numbers.

Least Common Multiple (LCM) of 342 and 346 is 59166.

LCM(342,346) = 59166

LCM of 342 and 346

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

LCM of:
and

Least Common Multiple of 342 and 346

LCM of 342 and 346 is 59166

Least common multiple can be found by multiplying the highest exponent prime factors of 342 and 346. First we will calculate the prime factors of 342 and 346.

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 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 342 and 346.

LCM(342,346) = 21×32×191×1731
LCM(342,346) = 59166

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 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Least Common Multiple of 342 and 346 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 346, than apply into the LCM equation.

GCF(342,346) = 2
LCM(342,346) = ( 342 × 346) / 2
LCM(342,346) = 118332 / 2
LCM(342,346) = 59166

Properties of LCM 342 and 346

(i) The LCM of 346 and 342 is associative

LCM of 342 and 346 = LCM of 346 and 342

Related Least Common Multiples of 342

Related Least Common Multiples of 346

Frequently Asked Questions on LCM of 342 and 346

1. What is the LCM of 342 and 346?

Answer: LCM of 342 and 346 is 59166.

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 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

4. How to Find the LCM of 342 and 346?

Answer:

Least Common Multiple of 342 and 346 = 59166

Step 1: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 346

346 = 2 x 173

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

LCM = 59166 = 2 x 3 x 3 x 19 x 173

Step 4: Therefore, the least common multiple of 342 and 346 is 59166.