Least Common Multiple of 696 and 703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 696 and 703 the smallest integer that is 489288 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 703 is 489288.

LCM(696,703) = 489288

LCM of 696 and 703

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

LCM of:
and

Least Common Multiple of 696 and 703

LCM of 696 and 703 is 489288

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 703. First we will calculate the prime factors of 696 and 703.

Prime Factorization of 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2, 3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 703.

LCM(696,703) = 23×31×191×291×371
LCM(696,703) = 489288

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Least Common Multiple of 696 and 703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 696 and 703, than apply into the LCM equation.

GCF(696,703) = 1
LCM(696,703) = ( 696 × 703) / 1
LCM(696,703) = 489288 / 1
LCM(696,703) = 489288

Properties of LCM 696 and 703

(i) The LCM of 703 and 696 is associative

LCM of 696 and 703 = LCM of 703 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 703

Frequently Asked Questions on LCM of 696 and 703

1. What is the LCM of 696 and 703?

Answer: LCM of 696 and 703 is 489288.

2. What are the Factors of 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

3. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

4. How to Find the LCM of 696 and 703?

Answer:

Least Common Multiple of 696 and 703 = 489288

Step 1: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 703

703 = 19 x 37

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

LCM = 489288 = 2 x 2 x 2 x 3 x 19 x 29 x 37

Step 4: Therefore, the least common multiple of 696 and 703 is 489288.