Least Common Multiple of 341 and 342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 341 and 342 the smallest integer that is 116622 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 342 is 116622.

LCM(341,342) = 116622

LCM of 341 and 342

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

LCM of:
and

Least Common Multiple of 341 and 342

LCM of 341 and 342 is 116622

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 342. First we will calculate the prime factors of 341 and 342.

Prime Factorization of 341


11 341
31 31
1

Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:

341 = 111×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 342.

LCM(341,342) = 21×32×111×191×311
LCM(341,342) = 116622

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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

Least Common Multiple of 341 and 342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 342, than apply into the LCM equation.

GCF(341,342) = 1
LCM(341,342) = ( 341 × 342) / 1
LCM(341,342) = 116622 / 1
LCM(341,342) = 116622

Properties of LCM 341 and 342

(i) The LCM of 342 and 341 is associative

LCM of 341 and 342 = LCM of 342 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 342

Frequently Asked Questions on LCM of 341 and 342

1. What is the LCM of 341 and 342?

Answer: LCM of 341 and 342 is 116622.

2. What are the Factors of 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

3. 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.

4. How to Find the LCM of 341 and 342?

Answer:

Least Common Multiple of 341 and 342 = 116622

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

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

LCM = 116622 = 2 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 341 and 342 is 116622.