Least Common Multiple of 332 and 340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 332 and 340 the smallest integer that is 28220 that is divisible by both numbers.

Least Common Multiple (LCM) of 332 and 340 is 28220.

LCM(332,340) = 28220

LCM of 332 and 340

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

LCM of:
and

Least Common Multiple of 332 and 340

LCM of 332 and 340 is 28220

Least common multiple can be found by multiplying the highest exponent prime factors of 332 and 340. First we will calculate the prime factors of 332 and 340.

Prime Factorization of 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 332 and 340.

LCM(332,340) = 22×51×171×831
LCM(332,340) = 28220

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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

Least Common Multiple of 332 and 340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 332 and 340, than apply into the LCM equation.

GCF(332,340) = 4
LCM(332,340) = ( 332 × 340) / 4
LCM(332,340) = 112880 / 4
LCM(332,340) = 28220

Properties of LCM 332 and 340

(i) The LCM of 340 and 332 is associative

LCM of 332 and 340 = LCM of 340 and 332

Related Least Common Multiples of 332

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 332 and 340

1. What is the LCM of 332 and 340?

Answer: LCM of 332 and 340 is 28220.

2. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

3. 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.

4. How to Find the LCM of 332 and 340?

Answer:

Least Common Multiple of 332 and 340 = 28220

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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

LCM = 28220 = 2 x 2 x 5 x 17 x 83

Step 4: Therefore, the least common multiple of 332 and 340 is 28220.