Least Common Multiple of 340 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 340 and 345 the smallest integer that is 23460 that is divisible by both numbers.

Least Common Multiple (LCM) of 340 and 345 is 23460.

LCM(340,345) = 23460

LCM of 340 and 345

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

LCM of:
and

Least Common Multiple of 340 and 345

LCM of 340 and 345 is 23460

Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 345. First we will calculate the prime factors of 340 and 345.

Prime Factorization of 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2, 5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

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 340 and 345.

LCM(340,345) = 22×31×51×171×231
LCM(340,345) = 23460

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 340 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 340 and 345, than apply into the LCM equation.

GCF(340,345) = 5
LCM(340,345) = ( 340 × 345) / 5
LCM(340,345) = 117300 / 5
LCM(340,345) = 23460

Properties of LCM 340 and 345

(i) The LCM of 345 and 340 is associative

LCM of 340 and 345 = LCM of 345 and 340

Related Least Common Multiples of 340

Related Least Common Multiples of 345

Frequently Asked Questions on LCM of 340 and 345

1. What is the LCM of 340 and 345?

Answer: LCM of 340 and 345 is 23460.

2. What are the Factors of 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

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 340 and 345?

Answer:

Least Common Multiple of 340 and 345 = 23460

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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 = 23460 = 2 x 2 x 3 x 5 x 17 x 23

Step 4: Therefore, the least common multiple of 340 and 345 is 23460.