Least Common Multiple of 341 and 344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 341 and 344 the smallest integer that is 117304 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 344 is 117304.

LCM(341,344) = 117304

LCM of 341 and 344

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

LCM of:
and

Least Common Multiple of 341 and 344

LCM of 341 and 344 is 117304

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 344. First we will calculate the prime factors of 341 and 344.

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

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 344.

LCM(341,344) = 23×111×311×431
LCM(341,344) = 117304

Factors of 341

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

1, 11, 31, 341

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Least Common Multiple of 341 and 344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 341 and 344, than apply into the LCM equation.

GCF(341,344) = 1
LCM(341,344) = ( 341 × 344) / 1
LCM(341,344) = 117304 / 1
LCM(341,344) = 117304

Properties of LCM 341 and 344

(i) The LCM of 344 and 341 is associative

LCM of 341 and 344 = LCM of 344 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 341 and 344

1. What is the LCM of 341 and 344?

Answer: LCM of 341 and 344 is 117304.

2. 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.

3. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the LCM of 341 and 344?

Answer:

Least Common Multiple of 341 and 344 = 117304

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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

LCM = 117304 = 2 x 2 x 2 x 11 x 31 x 43

Step 4: Therefore, the least common multiple of 341 and 344 is 117304.