Least Common Multiple of 682 and 684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 682 and 684 the smallest integer that is 233244 that is divisible by both numbers.

Least Common Multiple (LCM) of 682 and 684 is 233244.

LCM(682,684) = 233244

LCM of 682 and 684

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

LCM of:
and

Least Common Multiple of 682 and 684

LCM of 682 and 684 is 233244

Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 684. First we will calculate the prime factors of 682 and 684.

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

Prime Factorization of 684


2 684
2 342
3 171
3 57
19 19
1

Prime factors of 684 are 2, 3,19. Prime factorization of 684 in exponential form is:

684 = 22×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 682 and 684.

LCM(682,684) = 22×32×111×191×311
LCM(682,684) = 233244

Factors of 682

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

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

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Least Common Multiple of 682 and 684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 682 and 684, than apply into the LCM equation.

GCF(682,684) = 2
LCM(682,684) = ( 682 × 684) / 2
LCM(682,684) = 466488 / 2
LCM(682,684) = 233244

Properties of LCM 682 and 684

(i) The LCM of 684 and 682 is associative

LCM of 682 and 684 = LCM of 684 and 682

Related Least Common Multiples of 682

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 682 and 684

1. What is the LCM of 682 and 684?

Answer: LCM of 682 and 684 is 233244.

2. 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.

3. What are the Factors of 684?

Answer: Factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684. There are 18 integers that are factors of 684. The greatest factor of 684 is 684.

4. How to Find the LCM of 682 and 684?

Answer:

Least Common Multiple of 682 and 684 = 233244

Step 1: Find the prime factorization of 682

682 = 2 x 11 x 31

Step 2: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

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

LCM = 233244 = 2 x 2 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 682 and 684 is 233244.