Least Common Multiple of 334 and 336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 334 and 336 the smallest integer that is 56112 that is divisible by both numbers.

Least Common Multiple (LCM) of 334 and 336 is 56112.

LCM(334,336) = 56112

LCM of 334 and 336

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

LCM of:
and

Least Common Multiple of 334 and 336

LCM of 334 and 336 is 56112

Least common multiple can be found by multiplying the highest exponent prime factors of 334 and 336. First we will calculate the prime factors of 334 and 336.

Prime Factorization of 334


2 334
167 167
1

Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:

334 = 21×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 334 and 336.

LCM(334,336) = 24×31×71×1671
LCM(334,336) = 56112

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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

Least Common Multiple of 334 and 336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 334 and 336, than apply into the LCM equation.

GCF(334,336) = 2
LCM(334,336) = ( 334 × 336) / 2
LCM(334,336) = 112224 / 2
LCM(334,336) = 56112

Properties of LCM 334 and 336

(i) The LCM of 336 and 334 is associative

LCM of 334 and 336 = LCM of 336 and 334

Related Least Common Multiples of 334

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 334 and 336

1. What is the LCM of 334 and 336?

Answer: LCM of 334 and 336 is 56112.

2. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

3. 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.

4. How to Find the LCM of 334 and 336?

Answer:

Least Common Multiple of 334 and 336 = 56112

Step 1: Find the prime factorization of 334

334 = 2 x 167

Step 2: Find the prime factorization of 336

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

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

LCM = 56112 = 2 x 2 x 2 x 2 x 3 x 7 x 167

Step 4: Therefore, the least common multiple of 334 and 336 is 56112.