Least Common Multiple of 696 and 704

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 704 the smallest integer that is 61248 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 704 is 61248.

LCM(696,704) = 61248

LCM of 696 and 704

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

LCM of:
and

Least Common Multiple of 696 and 704

LCM of 696 and 704 is 61248

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 704. First we will calculate the prime factors of 696 and 704.

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 704


2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:

704 = 26×111

Now multiplying the highest exponent prime factors to calculate the LCM of 696 and 704.

LCM(696,704) = 26×31×111×291
LCM(696,704) = 61248

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 704

List of positive integer factors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Least Common Multiple of 696 and 704 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 704, than apply into the LCM equation.

GCF(696,704) = 8
LCM(696,704) = ( 696 × 704) / 8
LCM(696,704) = 489984 / 8
LCM(696,704) = 61248

Properties of LCM 696 and 704

(i) The LCM of 704 and 696 is associative

LCM of 696 and 704 = LCM of 704 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 696 and 704

1. What is the LCM of 696 and 704?

Answer: LCM of 696 and 704 is 61248.

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 704?

Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.

4. How to Find the LCM of 696 and 704?

Answer:

Least Common Multiple of 696 and 704 = 61248

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 704

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 61248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 696 and 704 is 61248.