Least Common Multiple of 340 and 348

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 348 the smallest integer that is 29580 that is divisible by both numbers.

Least Common Multiple (LCM) of 340 and 348 is 29580.

LCM(340,348) = 29580

LCM of 340 and 348

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

LCM of:
and

Least Common Multiple of 340 and 348

LCM of 340 and 348 is 29580

Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 348. First we will calculate the prime factors of 340 and 348.

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 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 340 and 348.

LCM(340,348) = 22×31×51×171×291
LCM(340,348) = 29580

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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Least Common Multiple of 340 and 348 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 348, than apply into the LCM equation.

GCF(340,348) = 4
LCM(340,348) = ( 340 × 348) / 4
LCM(340,348) = 118320 / 4
LCM(340,348) = 29580

Properties of LCM 340 and 348

(i) The LCM of 348 and 340 is associative

LCM of 340 and 348 = LCM of 348 and 340

Related Least Common Multiples of 340

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 340 and 348

1. What is the LCM of 340 and 348?

Answer: LCM of 340 and 348 is 29580.

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 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

4. How to Find the LCM of 340 and 348?

Answer:

Least Common Multiple of 340 and 348 = 29580

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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

LCM = 29580 = 2 x 2 x 3 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 340 and 348 is 29580.