Least Common Multiple of 346 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 346 and 348 the smallest integer that is 60204 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 348 is 60204.

LCM(346,348) = 60204

LCM of 346 and 348

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

LCM of:
and

Least Common Multiple of 346 and 348

LCM of 346 and 348 is 60204

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 348. First we will calculate the prime factors of 346 and 348.

Prime Factorization of 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

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 346 and 348.

LCM(346,348) = 22×31×291×1731
LCM(346,348) = 60204

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 346 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 346 and 348, than apply into the LCM equation.

GCF(346,348) = 2
LCM(346,348) = ( 346 × 348) / 2
LCM(346,348) = 120408 / 2
LCM(346,348) = 60204

Properties of LCM 346 and 348

(i) The LCM of 348 and 346 is associative

LCM of 346 and 348 = LCM of 348 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 348

Frequently Asked Questions on LCM of 346 and 348

1. What is the LCM of 346 and 348?

Answer: LCM of 346 and 348 is 60204.

2. What are the Factors of 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

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 346 and 348?

Answer:

Least Common Multiple of 346 and 348 = 60204

Step 1: Find the prime factorization of 346

346 = 2 x 173

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 = 60204 = 2 x 2 x 3 x 29 x 173

Step 4: Therefore, the least common multiple of 346 and 348 is 60204.