Least Common Multiple of 683 and 688

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 688 the smallest integer that is 469904 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 688 is 469904.

LCM(683,688) = 469904

LCM of 683 and 688

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

LCM of:
and

Least Common Multiple of 683 and 688

LCM of 683 and 688 is 469904

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 688. First we will calculate the prime factors of 683 and 688.

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 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

Now multiplying the highest exponent prime factors to calculate the LCM of 683 and 688.

LCM(683,688) = 24×431×6831
LCM(683,688) = 469904

Factors of 683

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

1, 683

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Least Common Multiple of 683 and 688 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 688, than apply into the LCM equation.

GCF(683,688) = 1
LCM(683,688) = ( 683 × 688) / 1
LCM(683,688) = 469904 / 1
LCM(683,688) = 469904

Properties of LCM 683 and 688

(i) The LCM of 688 and 683 is associative

LCM of 683 and 688 = LCM of 688 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 683 and 688

1. What is the LCM of 683 and 688?

Answer: LCM of 683 and 688 is 469904.

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 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

4. How to Find the LCM of 683 and 688?

Answer:

Least Common Multiple of 683 and 688 = 469904

Step 1: Find the prime factorization of 683

683 = 683

Step 2: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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

LCM = 469904 = 2 x 2 x 2 x 2 x 43 x 683

Step 4: Therefore, the least common multiple of 683 and 688 is 469904.