Least Common Multiple of 683 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 683 and 684 the smallest integer that is 467172 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 684 is 467172.

LCM(683,684) = 467172

LCM of 683 and 684

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

LCM of:
and

Least Common Multiple of 683 and 684

LCM of 683 and 684 is 467172

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 684. First we will calculate the prime factors of 683 and 684.

Prime Factorization of 683


683 683
1

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 6831

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 683 and 684.

LCM(683,684) = 22×32×191×6831
LCM(683,684) = 467172

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1, 683

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 683 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 683 and 684, than apply into the LCM equation.

GCF(683,684) = 1
LCM(683,684) = ( 683 × 684) / 1
LCM(683,684) = 467172 / 1
LCM(683,684) = 467172

Properties of LCM 683 and 684

(i) The LCM of 684 and 683 is associative

LCM of 683 and 684 = LCM of 684 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 683 and 684

1. What is the LCM of 683 and 684?

Answer: LCM of 683 and 684 is 467172.

2. What are the Factors of 683?

Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.

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 683 and 684?

Answer:

Least Common Multiple of 683 and 684 = 467172

Step 1: Find the prime factorization of 683

683 = 683

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 = 467172 = 2 x 2 x 3 x 3 x 19 x 683

Step 4: Therefore, the least common multiple of 683 and 684 is 467172.