Least Common Multiple of 346 and 352

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 352 the smallest integer that is 60896 that is divisible by both numbers.

Least Common Multiple (LCM) of 346 and 352 is 60896.

LCM(346,352) = 60896

LCM of 346 and 352

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

LCM of:
and

Least Common Multiple of 346 and 352

LCM of 346 and 352 is 60896

Least common multiple can be found by multiplying the highest exponent prime factors of 346 and 352. First we will calculate the prime factors of 346 and 352.

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 352


2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 352 are 2,11. Prime factorization of 352 in exponential form is:

352 = 25×111

Now multiplying the highest exponent prime factors to calculate the LCM of 346 and 352.

LCM(346,352) = 25×111×1731
LCM(346,352) = 60896

Factors of 346

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

1, 2, 173, 346

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Least Common Multiple of 346 and 352 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 352, than apply into the LCM equation.

GCF(346,352) = 2
LCM(346,352) = ( 346 × 352) / 2
LCM(346,352) = 121792 / 2
LCM(346,352) = 60896

Properties of LCM 346 and 352

(i) The LCM of 352 and 346 is associative

LCM of 346 and 352 = LCM of 352 and 346

Related Least Common Multiples of 346

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 346 and 352

1. What is the LCM of 346 and 352?

Answer: LCM of 346 and 352 is 60896.

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 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

4. How to Find the LCM of 346 and 352?

Answer:

Least Common Multiple of 346 and 352 = 60896

Step 1: Find the prime factorization of 346

346 = 2 x 173

Step 2: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 60896 = 2 x 2 x 2 x 2 x 2 x 11 x 173

Step 4: Therefore, the least common multiple of 346 and 352 is 60896.