Least Common Multiple of 704 and 710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 704 and 710 the smallest integer that is 249920 that is divisible by both numbers.

Least Common Multiple (LCM) of 704 and 710 is 249920.

LCM(704,710) = 249920

LCM of 704 and 710

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

LCM of:
and

Least Common Multiple of 704 and 710

LCM of 704 and 710 is 249920

Least common multiple can be found by multiplying the highest exponent prime factors of 704 and 710. First we will calculate the prime factors of 704 and 710.

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

Prime Factorization of 710


2 710
5 355
71 71
1

Prime factors of 710 are 2, 5,71. Prime factorization of 710 in exponential form is:

710 = 21×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 704 and 710.

LCM(704,710) = 26×51×111×711
LCM(704,710) = 249920

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

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Least Common Multiple of 704 and 710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 704 and 710, than apply into the LCM equation.

GCF(704,710) = 2
LCM(704,710) = ( 704 × 710) / 2
LCM(704,710) = 499840 / 2
LCM(704,710) = 249920

Properties of LCM 704 and 710

(i) The LCM of 710 and 704 is associative

LCM of 704 and 710 = LCM of 710 and 704

Related Least Common Multiples of 704

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 704 and 710

1. What is the LCM of 704 and 710?

Answer: LCM of 704 and 710 is 249920.

2. 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.

3. What are the Factors of 710?

Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.

4. How to Find the LCM of 704 and 710?

Answer:

Least Common Multiple of 704 and 710 = 249920

Step 1: Find the prime factorization of 704

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

Step 2: Find the prime factorization of 710

710 = 2 x 5 x 71

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

LCM = 249920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 71

Step 4: Therefore, the least common multiple of 704 and 710 is 249920.