Least Common Multiple of 706 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 706 and 710 the smallest integer that is 250630 that is divisible by both numbers.

Least Common Multiple (LCM) of 706 and 710 is 250630.

LCM(706,710) = 250630

LCM of 706 and 710

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

LCM of:
and

Least Common Multiple of 706 and 710

LCM of 706 and 710 is 250630

Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 710. First we will calculate the prime factors of 706 and 710.

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

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 706 and 710.

LCM(706,710) = 21×51×711×3531
LCM(706,710) = 250630

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 706 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 706 and 710, than apply into the LCM equation.

GCF(706,710) = 2
LCM(706,710) = ( 706 × 710) / 2
LCM(706,710) = 501260 / 2
LCM(706,710) = 250630

Properties of LCM 706 and 710

(i) The LCM of 710 and 706 is associative

LCM of 706 and 710 = LCM of 710 and 706

Related Least Common Multiples of 706

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 706 and 710

1. What is the LCM of 706 and 710?

Answer: LCM of 706 and 710 is 250630.

2. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

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 706 and 710?

Answer:

Least Common Multiple of 706 and 710 = 250630

Step 1: Find the prime factorization of 706

706 = 2 x 353

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 = 250630 = 2 x 5 x 71 x 353

Step 4: Therefore, the least common multiple of 706 and 710 is 250630.