Least Common Multiple of 680 and 682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 682 the smallest integer that is 231880 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 682 is 231880.

LCM(680,682) = 231880

LCM of 680 and 682

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

LCM of:
and

Least Common Multiple of 680 and 682

LCM of 680 and 682 is 231880

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 682. First we will calculate the prime factors of 680 and 682.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 682.

LCM(680,682) = 23×51×111×171×311
LCM(680,682) = 231880

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Least Common Multiple of 680 and 682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 682, than apply into the LCM equation.

GCF(680,682) = 2
LCM(680,682) = ( 680 × 682) / 2
LCM(680,682) = 463760 / 2
LCM(680,682) = 231880

Properties of LCM 680 and 682

(i) The LCM of 682 and 680 is associative

LCM of 680 and 682 = LCM of 682 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 682

Frequently Asked Questions on LCM of 680 and 682

1. What is the LCM of 680 and 682?

Answer: LCM of 680 and 682 is 231880.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

4. How to Find the LCM of 680 and 682?

Answer:

Least Common Multiple of 680 and 682 = 231880

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 682

682 = 2 x 11 x 31

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

LCM = 231880 = 2 x 2 x 2 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 680 and 682 is 231880.