Least Common Multiple of 334 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 334 and 337 the smallest integer that is 112558 that is divisible by both numbers.

Least Common Multiple (LCM) of 334 and 337 is 112558.

LCM(334,337) = 112558

LCM of 334 and 337

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

LCM of:
and

Least Common Multiple of 334 and 337

LCM of 334 and 337 is 112558

Least common multiple can be found by multiplying the highest exponent prime factors of 334 and 337. First we will calculate the prime factors of 334 and 337.

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 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 334 and 337.

LCM(334,337) = 21×1671×3371
LCM(334,337) = 112558

Factors of 334

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

1, 2, 167, 334

Factors of 337

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

1, 337

Least Common Multiple of 334 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 334 and 337, than apply into the LCM equation.

GCF(334,337) = 1
LCM(334,337) = ( 334 × 337) / 1
LCM(334,337) = 112558 / 1
LCM(334,337) = 112558

Properties of LCM 334 and 337

(i) The LCM of 337 and 334 is associative

LCM of 334 and 337 = LCM of 337 and 334

Related Least Common Multiples of 334

Related Least Common Multiples of 337

Frequently Asked Questions on LCM of 334 and 337

1. What is the LCM of 334 and 337?

Answer: LCM of 334 and 337 is 112558.

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 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 334 and 337?

Answer:

Least Common Multiple of 334 and 337 = 112558

Step 1: Find the prime factorization of 334

334 = 2 x 167

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 = 112558 = 2 x 167 x 337

Step 4: Therefore, the least common multiple of 334 and 337 is 112558.