Least Common Multiple of 704 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 704 and 709 the smallest integer that is 499136 that is divisible by both numbers.

Least Common Multiple (LCM) of 704 and 709 is 499136.

LCM(704,709) = 499136

LCM of 704 and 709

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

LCM of:
and

Least Common Multiple of 704 and 709

LCM of 704 and 709 is 499136

Least common multiple can be found by multiplying the highest exponent prime factors of 704 and 709. First we will calculate the prime factors of 704 and 709.

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 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 704 and 709.

LCM(704,709) = 26×111×7091
LCM(704,709) = 499136

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 709

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

1, 709

Least Common Multiple of 704 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 704 and 709, than apply into the LCM equation.

GCF(704,709) = 1
LCM(704,709) = ( 704 × 709) / 1
LCM(704,709) = 499136 / 1
LCM(704,709) = 499136

Properties of LCM 704 and 709

(i) The LCM of 709 and 704 is associative

LCM of 704 and 709 = LCM of 709 and 704

Related Least Common Multiples of 704

Related Least Common Multiples of 709

Frequently Asked Questions on LCM of 704 and 709

1. What is the LCM of 704 and 709?

Answer: LCM of 704 and 709 is 499136.

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 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 704 and 709?

Answer:

Least Common Multiple of 704 and 709 = 499136

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 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 = 499136 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 709

Step 4: Therefore, the least common multiple of 704 and 709 is 499136.