Least Common Multiple of 696 and 700

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 700 the smallest integer that is 121800 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 700 is 121800.

LCM(696,700) = 121800

LCM of 696 and 700

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

LCM of:
and

Least Common Multiple of 696 and 700

LCM of 696 and 700 is 121800

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 700. First we will calculate the prime factors of 696 and 700.

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 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 700.

LCM(696,700) = 23×31×52×71×291
LCM(696,700) = 121800

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 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Least Common Multiple of 696 and 700 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 700, than apply into the LCM equation.

GCF(696,700) = 4
LCM(696,700) = ( 696 × 700) / 4
LCM(696,700) = 487200 / 4
LCM(696,700) = 121800

Properties of LCM 696 and 700

(i) The LCM of 700 and 696 is associative

LCM of 696 and 700 = LCM of 700 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 696 and 700

1. What is the LCM of 696 and 700?

Answer: LCM of 696 and 700 is 121800.

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 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the LCM of 696 and 700?

Answer:

Least Common Multiple of 696 and 700 = 121800

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 700

700 = 2 x 2 x 5 x 5 x 7

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

LCM = 121800 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 696 and 700 is 121800.