Least Common Multiple of 683 and 685

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 685 the smallest integer that is 467855 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 685 is 467855.

LCM(683,685) = 467855

LCM of 683 and 685

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

LCM of:
and

Least Common Multiple of 683 and 685

LCM of 683 and 685 is 467855

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 685. First we will calculate the prime factors of 683 and 685.

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 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 683 and 685.

LCM(683,685) = 51×1371×6831
LCM(683,685) = 467855

Factors of 683

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

1, 683

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 683 and 685 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 685, than apply into the LCM equation.

GCF(683,685) = 1
LCM(683,685) = ( 683 × 685) / 1
LCM(683,685) = 467855 / 1
LCM(683,685) = 467855

Properties of LCM 683 and 685

(i) The LCM of 685 and 683 is associative

LCM of 683 and 685 = LCM of 685 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 683 and 685

1. What is the LCM of 683 and 685?

Answer: LCM of 683 and 685 is 467855.

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 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 683 and 685?

Answer:

Least Common Multiple of 683 and 685 = 467855

Step 1: Find the prime factorization of 683

683 = 683

Step 2: Find the prime factorization of 685

685 = 5 x 137

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

LCM = 467855 = 5 x 137 x 683

Step 4: Therefore, the least common multiple of 683 and 685 is 467855.