Least Common Multiple of 702 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 702 and 710 the smallest integer that is 249210 that is divisible by both numbers.

Least Common Multiple (LCM) of 702 and 710 is 249210.

LCM(702,710) = 249210

LCM of 702 and 710

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

LCM of:
and

Least Common Multiple of 702 and 710

LCM of 702 and 710 is 249210

Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 710. First we will calculate the prime factors of 702 and 710.

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

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 702 and 710.

LCM(702,710) = 21×33×51×131×711
LCM(702,710) = 249210

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

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 702 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 702 and 710, than apply into the LCM equation.

GCF(702,710) = 2
LCM(702,710) = ( 702 × 710) / 2
LCM(702,710) = 498420 / 2
LCM(702,710) = 249210

Properties of LCM 702 and 710

(i) The LCM of 710 and 702 is associative

LCM of 702 and 710 = LCM of 710 and 702

Related Least Common Multiples of 702

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 702 and 710

1. What is the LCM of 702 and 710?

Answer: LCM of 702 and 710 is 249210.

2. 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.

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 702 and 710?

Answer:

Least Common Multiple of 702 and 710 = 249210

Step 1: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

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 = 249210 = 2 x 3 x 3 x 3 x 5 x 13 x 71

Step 4: Therefore, the least common multiple of 702 and 710 is 249210.