Least Common Multiple of 334 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 334 and 341 the smallest integer that is 113894 that is divisible by both numbers.

Least Common Multiple (LCM) of 334 and 341 is 113894.

LCM(334,341) = 113894

LCM of 334 and 341

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

LCM of:
and

Least Common Multiple of 334 and 341

LCM of 334 and 341 is 113894

Least common multiple can be found by multiplying the highest exponent prime factors of 334 and 341. First we will calculate the prime factors of 334 and 341.

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 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 334 and 341.

LCM(334,341) = 21×111×311×1671
LCM(334,341) = 113894

Factors of 334

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

1, 2, 167, 334

Factors of 341

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

1, 11, 31, 341

Least Common Multiple of 334 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 334 and 341, than apply into the LCM equation.

GCF(334,341) = 1
LCM(334,341) = ( 334 × 341) / 1
LCM(334,341) = 113894 / 1
LCM(334,341) = 113894

Properties of LCM 334 and 341

(i) The LCM of 341 and 334 is associative

LCM of 334 and 341 = LCM of 341 and 334

Related Least Common Multiples of 334

Related Least Common Multiples of 341

Frequently Asked Questions on LCM of 334 and 341

1. What is the LCM of 334 and 341?

Answer: LCM of 334 and 341 is 113894.

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 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 334 and 341?

Answer:

Least Common Multiple of 334 and 341 = 113894

Step 1: Find the prime factorization of 334

334 = 2 x 167

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 = 113894 = 2 x 11 x 31 x 167

Step 4: Therefore, the least common multiple of 334 and 341 is 113894.