Least Common Multiple of 705 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 705 and 710 the smallest integer that is 100110 that is divisible by both numbers.

Least Common Multiple (LCM) of 705 and 710 is 100110.

LCM(705,710) = 100110

LCM of 705 and 710

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

LCM of:
and

Least Common Multiple of 705 and 710

LCM of 705 and 710 is 100110

Least common multiple can be found by multiplying the highest exponent prime factors of 705 and 710. First we will calculate the prime factors of 705 and 710.

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 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 705 and 710.

LCM(705,710) = 21×31×51×471×711
LCM(705,710) = 100110

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 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 705 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 705 and 710, than apply into the LCM equation.

GCF(705,710) = 5
LCM(705,710) = ( 705 × 710) / 5
LCM(705,710) = 500550 / 5
LCM(705,710) = 100110

Properties of LCM 705 and 710

(i) The LCM of 710 and 705 is associative

LCM of 705 and 710 = LCM of 710 and 705

Related Least Common Multiples of 705

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 705 and 710

1. What is the LCM of 705 and 710?

Answer: LCM of 705 and 710 is 100110.

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 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 705 and 710?

Answer:

Least Common Multiple of 705 and 710 = 100110

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

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 = 100110 = 2 x 3 x 5 x 47 x 71

Step 4: Therefore, the least common multiple of 705 and 710 is 100110.