Least Common Multiple of 684 and 686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 684 and 686 the smallest integer that is 234612 that is divisible by both numbers.

Least Common Multiple (LCM) of 684 and 686 is 234612.

LCM(684,686) = 234612

LCM of 684 and 686

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

LCM of:
and

Least Common Multiple of 684 and 686

LCM of 684 and 686 is 234612

Least common multiple can be found by multiplying the highest exponent prime factors of 684 and 686. First we will calculate the prime factors of 684 and 686.

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

Prime Factorization of 686


2 686
7 343
7 49
7 7
1

Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:

686 = 21×73

Now multiplying the highest exponent prime factors to calculate the LCM of 684 and 686.

LCM(684,686) = 22×32×73×191
LCM(684,686) = 234612

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

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Least Common Multiple of 684 and 686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 684 and 686, than apply into the LCM equation.

GCF(684,686) = 2
LCM(684,686) = ( 684 × 686) / 2
LCM(684,686) = 469224 / 2
LCM(684,686) = 234612

Properties of LCM 684 and 686

(i) The LCM of 686 and 684 is associative

LCM of 684 and 686 = LCM of 686 and 684

Related Least Common Multiples of 684

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 684 and 686

1. What is the LCM of 684 and 686?

Answer: LCM of 684 and 686 is 234612.

2. 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.

3. What are the Factors of 686?

Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.

4. How to Find the LCM of 684 and 686?

Answer:

Least Common Multiple of 684 and 686 = 234612

Step 1: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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

LCM = 234612 = 2 x 2 x 3 x 3 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 684 and 686 is 234612.