Least Common Multiple of 336 and 341

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 341 the smallest integer that is 114576 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 341 is 114576.

LCM(336,341) = 114576

LCM of 336 and 341

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

LCM of:
and

Least Common Multiple of 336 and 341

LCM of 336 and 341 is 114576

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 341. First we will calculate the prime factors of 336 and 341.

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 341


11 341
31 31
1

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

341 = 111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 341.

LCM(336,341) = 24×31×71×111×311
LCM(336,341) = 114576

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 341

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

1, 11, 31, 341

Least Common Multiple of 336 and 341 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 341, than apply into the LCM equation.

GCF(336,341) = 1
LCM(336,341) = ( 336 × 341) / 1
LCM(336,341) = 114576 / 1
LCM(336,341) = 114576

Properties of LCM 336 and 341

(i) The LCM of 341 and 336 is associative

LCM of 336 and 341 = LCM of 341 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 341

Frequently Asked Questions on LCM of 336 and 341

1. What is the LCM of 336 and 341?

Answer: LCM of 336 and 341 is 114576.

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 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.

4. How to Find the LCM of 336 and 341?

Answer:

Least Common Multiple of 336 and 341 = 114576

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 341

341 = 11 x 31

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

LCM = 114576 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 336 and 341 is 114576.