Least Common Multiple of 345 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 345 and 348 the smallest integer that is 40020 that is divisible by both numbers.

Least Common Multiple (LCM) of 345 and 348 is 40020.

LCM(345,348) = 40020

LCM of 345 and 348

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

LCM of:
and

Least Common Multiple of 345 and 348

LCM of 345 and 348 is 40020

Least common multiple can be found by multiplying the highest exponent prime factors of 345 and 348. First we will calculate the prime factors of 345 and 348.

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

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 345 and 348.

LCM(345,348) = 22×31×51×231×291
LCM(345,348) = 40020

Factors of 345

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

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

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 345 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 345 and 348, than apply into the LCM equation.

GCF(345,348) = 3
LCM(345,348) = ( 345 × 348) / 3
LCM(345,348) = 120060 / 3
LCM(345,348) = 40020

Properties of LCM 345 and 348

(i) The LCM of 348 and 345 is associative

LCM of 345 and 348 = LCM of 348 and 345

Related Least Common Multiples of 345

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 345 and 348

1. What is the LCM of 345 and 348?

Answer: LCM of 345 and 348 is 40020.

2. 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.

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 345 and 348?

Answer:

Least Common Multiple of 345 and 348 = 40020

Step 1: Find the prime factorization of 345

345 = 3 x 5 x 23

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 = 40020 = 2 x 2 x 3 x 5 x 23 x 29

Step 4: Therefore, the least common multiple of 345 and 348 is 40020.