Least Common Multiple of 702 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 702 and 704 the smallest integer that is 247104 that is divisible by both numbers.

Least Common Multiple (LCM) of 702 and 704 is 247104.

LCM(702,704) = 247104

LCM of 702 and 704

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

LCM of:
and

Least Common Multiple of 702 and 704

LCM of 702 and 704 is 247104

Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 704. First we will calculate the prime factors of 702 and 704.

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 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 702 and 704.

LCM(702,704) = 26×33×111×131
LCM(702,704) = 247104

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 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 702 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 702 and 704, than apply into the LCM equation.

GCF(702,704) = 2
LCM(702,704) = ( 702 × 704) / 2
LCM(702,704) = 494208 / 2
LCM(702,704) = 247104

Properties of LCM 702 and 704

(i) The LCM of 704 and 702 is associative

LCM of 702 and 704 = LCM of 704 and 702

Related Least Common Multiples of 702

Related Least Common Multiples of 704

Frequently Asked Questions on LCM of 702 and 704

1. What is the LCM of 702 and 704?

Answer: LCM of 702 and 704 is 247104.

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 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 702 and 704?

Answer:

Least Common Multiple of 702 and 704 = 247104

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 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 = 247104 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 702 and 704 is 247104.