Least Common Multiple of 702 and 709

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 709 the smallest integer that is 497718 that is divisible by both numbers.

Least Common Multiple (LCM) of 702 and 709 is 497718.

LCM(702,709) = 497718

LCM of 702 and 709

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

LCM of:
and

Least Common Multiple of 702 and 709

LCM of 702 and 709 is 497718

Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 709. First we will calculate the prime factors of 702 and 709.

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 709


709 709
1

Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:

709 = 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 702 and 709.

LCM(702,709) = 21×33×131×7091
LCM(702,709) = 497718

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 709

List of positive integer factors of 709 that divides 709 without a remainder.

1, 709

Least Common Multiple of 702 and 709 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 709, than apply into the LCM equation.

GCF(702,709) = 1
LCM(702,709) = ( 702 × 709) / 1
LCM(702,709) = 497718 / 1
LCM(702,709) = 497718

Properties of LCM 702 and 709

(i) The LCM of 709 and 702 is associative

LCM of 702 and 709 = LCM of 709 and 702

Related Least Common Multiples of 702

Related Least Common Multiples of 709

Frequently Asked Questions on LCM of 702 and 709

1. What is the LCM of 702 and 709?

Answer: LCM of 702 and 709 is 497718.

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 709?

Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.

4. How to Find the LCM of 702 and 709?

Answer:

Least Common Multiple of 702 and 709 = 497718

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 709

709 = 709

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

LCM = 497718 = 2 x 3 x 3 x 3 x 13 x 709

Step 4: Therefore, the least common multiple of 702 and 709 is 497718.