Least Common Multiple of 336 and 340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 336 and 340 the smallest integer that is 28560 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 340 is 28560.

LCM(336,340) = 28560

LCM of 336 and 340

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

LCM of:
and

Least Common Multiple of 336 and 340

LCM of 336 and 340 is 28560

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 340. First we will calculate the prime factors of 336 and 340.

Prime Factorization of 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

Prime Factorization of 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2, 5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 340.

LCM(336,340) = 24×31×51×71×171
LCM(336,340) = 28560

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Least Common Multiple of 336 and 340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 340, than apply into the LCM equation.

GCF(336,340) = 4
LCM(336,340) = ( 336 × 340) / 4
LCM(336,340) = 114240 / 4
LCM(336,340) = 28560

Properties of LCM 336 and 340

(i) The LCM of 340 and 336 is associative

LCM of 336 and 340 = LCM of 340 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 336 and 340

1. What is the LCM of 336 and 340?

Answer: LCM of 336 and 340 is 28560.

2. What are the Factors of 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

3. What are the Factors of 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

4. How to Find the LCM of 336 and 340?

Answer:

Least Common Multiple of 336 and 340 = 28560

Step 1: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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

LCM = 28560 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 336 and 340 is 28560.