Least Common Multiple of 336 and 337

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 337 the smallest integer that is 113232 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 337 is 113232.

LCM(336,337) = 113232

LCM of 336 and 337

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

LCM of:
and

Least Common Multiple of 336 and 337

LCM of 336 and 337 is 113232

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 337. First we will calculate the prime factors of 336 and 337.

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 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 337.

LCM(336,337) = 24×31×71×3371
LCM(336,337) = 113232

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 337

List of positive integer factors of 337 that divides 337 without a remainder.

1, 337

Least Common Multiple of 336 and 337 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 337, than apply into the LCM equation.

GCF(336,337) = 1
LCM(336,337) = ( 336 × 337) / 1
LCM(336,337) = 113232 / 1
LCM(336,337) = 113232

Properties of LCM 336 and 337

(i) The LCM of 337 and 336 is associative

LCM of 336 and 337 = LCM of 337 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 337

Frequently Asked Questions on LCM of 336 and 337

1. What is the LCM of 336 and 337?

Answer: LCM of 336 and 337 is 113232.

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 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

4. How to Find the LCM of 336 and 337?

Answer:

Least Common Multiple of 336 and 337 = 113232

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 337

337 = 337

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

LCM = 113232 = 2 x 2 x 2 x 2 x 3 x 7 x 337

Step 4: Therefore, the least common multiple of 336 and 337 is 113232.