Least Common Multiple of 696 and 702

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 702 the smallest integer that is 81432 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 702 is 81432.

LCM(696,702) = 81432

LCM of 696 and 702

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

LCM of:
and

Least Common Multiple of 696 and 702

LCM of 696 and 702 is 81432

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 702. First we will calculate the prime factors of 696 and 702.

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 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2, 3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 702.

LCM(696,702) = 23×33×131×291
LCM(696,702) = 81432

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 702

List of positive integer factors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Least Common Multiple of 696 and 702 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 702, than apply into the LCM equation.

GCF(696,702) = 6
LCM(696,702) = ( 696 × 702) / 6
LCM(696,702) = 488592 / 6
LCM(696,702) = 81432

Properties of LCM 696 and 702

(i) The LCM of 702 and 696 is associative

LCM of 696 and 702 = LCM of 702 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 696 and 702

1. What is the LCM of 696 and 702?

Answer: LCM of 696 and 702 is 81432.

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 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

4. How to Find the LCM of 696 and 702?

Answer:

Least Common Multiple of 696 and 702 = 81432

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 702

702 = 2 x 3 x 3 x 3 x 13

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

LCM = 81432 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 29

Step 4: Therefore, the least common multiple of 696 and 702 is 81432.