Least Common Multiple of 335 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 335 and 342 the smallest integer that is 114570 that is divisible by both numbers.

Least Common Multiple (LCM) of 335 and 342 is 114570.

LCM(335,342) = 114570

LCM of 335 and 342

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

LCM of:
and

Least Common Multiple of 335 and 342

LCM of 335 and 342 is 114570

Least common multiple can be found by multiplying the highest exponent prime factors of 335 and 342. First we will calculate the prime factors of 335 and 342.

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

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 335 and 342.

LCM(335,342) = 21×32×51×191×671
LCM(335,342) = 114570

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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 335 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 335 and 342, than apply into the LCM equation.

GCF(335,342) = 1
LCM(335,342) = ( 335 × 342) / 1
LCM(335,342) = 114570 / 1
LCM(335,342) = 114570

Properties of LCM 335 and 342

(i) The LCM of 342 and 335 is associative

LCM of 335 and 342 = LCM of 342 and 335

Related Least Common Multiples of 335

Related Least Common Multiples of 342

Frequently Asked Questions on LCM of 335 and 342

1. What is the LCM of 335 and 342?

Answer: LCM of 335 and 342 is 114570.

2. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

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 335 and 342?

Answer:

Least Common Multiple of 335 and 342 = 114570

Step 1: Find the prime factorization of 335

335 = 5 x 67

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 = 114570 = 2 x 3 x 3 x 5 x 19 x 67

Step 4: Therefore, the least common multiple of 335 and 342 is 114570.