Least Common Multiple of 684 and 687

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 687 the smallest integer that is 156636 that is divisible by both numbers.

Least Common Multiple (LCM) of 684 and 687 is 156636.

LCM(684,687) = 156636

LCM of 684 and 687

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

LCM of:
and

Least Common Multiple of 684 and 687

LCM of 684 and 687 is 156636

Least common multiple can be found by multiplying the highest exponent prime factors of 684 and 687. First we will calculate the prime factors of 684 and 687.

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 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 684 and 687.

LCM(684,687) = 22×32×191×2291
LCM(684,687) = 156636

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 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Least Common Multiple of 684 and 687 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 687, than apply into the LCM equation.

GCF(684,687) = 3
LCM(684,687) = ( 684 × 687) / 3
LCM(684,687) = 469908 / 3
LCM(684,687) = 156636

Properties of LCM 684 and 687

(i) The LCM of 687 and 684 is associative

LCM of 684 and 687 = LCM of 687 and 684

Related Least Common Multiples of 684

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 684 and 687

1. What is the LCM of 684 and 687?

Answer: LCM of 684 and 687 is 156636.

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 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

4. How to Find the LCM of 684 and 687?

Answer:

Least Common Multiple of 684 and 687 = 156636

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 687

687 = 3 x 229

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

LCM = 156636 = 2 x 2 x 3 x 3 x 19 x 229

Step 4: Therefore, the least common multiple of 684 and 687 is 156636.