Least Common Multiple of 705 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 705 and 709 the smallest integer that is 499845 that is divisible by both numbers.

Least Common Multiple (LCM) of 705 and 709 is 499845.

LCM(705,709) = 499845

LCM of 705 and 709

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

LCM of:
and

Least Common Multiple of 705 and 709

LCM of 705 and 709 is 499845

Least common multiple can be found by multiplying the highest exponent prime factors of 705 and 709. First we will calculate the prime factors of 705 and 709.

Prime Factorization of 705


3 705
5 235
47 47
1

Prime factors of 705 are 3, 5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

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 705 and 709.

LCM(705,709) = 31×51×471×7091
LCM(705,709) = 499845

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Factors of 709

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

1, 709

Least Common Multiple of 705 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 705 and 709, than apply into the LCM equation.

GCF(705,709) = 1
LCM(705,709) = ( 705 × 709) / 1
LCM(705,709) = 499845 / 1
LCM(705,709) = 499845

Properties of LCM 705 and 709

(i) The LCM of 709 and 705 is associative

LCM of 705 and 709 = LCM of 709 and 705

Related Least Common Multiples of 705

Related Least Common Multiples of 709

Frequently Asked Questions on LCM of 705 and 709

1. What is the LCM of 705 and 709?

Answer: LCM of 705 and 709 is 499845.

2. What are the Factors of 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

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 705 and 709?

Answer:

Least Common Multiple of 705 and 709 = 499845

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

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 = 499845 = 3 x 5 x 47 x 709

Step 4: Therefore, the least common multiple of 705 and 709 is 499845.