Least Common Multiple of 341 and 345

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 345 the smallest integer that is 117645 that is divisible by both numbers.

Least Common Multiple (LCM) of 341 and 345 is 117645.

LCM(341,345) = 117645

LCM of 341 and 345

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

LCM of:
and

Least Common Multiple of 341 and 345

LCM of 341 and 345 is 117645

Least common multiple can be found by multiplying the highest exponent prime factors of 341 and 345. First we will calculate the prime factors of 341 and 345.

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 345


3 345
5 115
23 23
1

Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 341 and 345.

LCM(341,345) = 31×51×111×231×311
LCM(341,345) = 117645

Factors of 341

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

1, 11, 31, 341

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Least Common Multiple of 341 and 345 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 345, than apply into the LCM equation.

GCF(341,345) = 1
LCM(341,345) = ( 341 × 345) / 1
LCM(341,345) = 117645 / 1
LCM(341,345) = 117645

Properties of LCM 341 and 345

(i) The LCM of 345 and 341 is associative

LCM of 341 and 345 = LCM of 345 and 341

Related Least Common Multiples of 341

Related Least Common Multiples of 345

Frequently Asked Questions on LCM of 341 and 345

1. What is the LCM of 341 and 345?

Answer: LCM of 341 and 345 is 117645.

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 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

4. How to Find the LCM of 341 and 345?

Answer:

Least Common Multiple of 341 and 345 = 117645

Step 1: Find the prime factorization of 341

341 = 11 x 31

Step 2: Find the prime factorization of 345

345 = 3 x 5 x 23

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

LCM = 117645 = 3 x 5 x 11 x 23 x 31

Step 4: Therefore, the least common multiple of 341 and 345 is 117645.