Least Common Multiple of 340 and 346

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 346 the smallest integer that is 58820 that is divisible by both numbers.

Least Common Multiple (LCM) of 340 and 346 is 58820.

LCM(340,346) = 58820

LCM of 340 and 346

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

LCM of:
and

Least Common Multiple of 340 and 346

LCM of 340 and 346 is 58820

Least common multiple can be found by multiplying the highest exponent prime factors of 340 and 346. First we will calculate the prime factors of 340 and 346.

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 346


2 346
173 173
1

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

346 = 21×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 340 and 346.

LCM(340,346) = 22×51×171×1731
LCM(340,346) = 58820

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 346

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

1, 2, 173, 346

Least Common Multiple of 340 and 346 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 346, than apply into the LCM equation.

GCF(340,346) = 2
LCM(340,346) = ( 340 × 346) / 2
LCM(340,346) = 117640 / 2
LCM(340,346) = 58820

Properties of LCM 340 and 346

(i) The LCM of 346 and 340 is associative

LCM of 340 and 346 = LCM of 346 and 340

Related Least Common Multiples of 340

Related Least Common Multiples of 346

Frequently Asked Questions on LCM of 340 and 346

1. What is the LCM of 340 and 346?

Answer: LCM of 340 and 346 is 58820.

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 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.

4. How to Find the LCM of 340 and 346?

Answer:

Least Common Multiple of 340 and 346 = 58820

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 346

346 = 2 x 173

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

LCM = 58820 = 2 x 2 x 5 x 17 x 173

Step 4: Therefore, the least common multiple of 340 and 346 is 58820.