Least Common Multiple of 705 and 711

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 711 the smallest integer that is 167085 that is divisible by both numbers.

Least Common Multiple (LCM) of 705 and 711 is 167085.

LCM(705,711) = 167085

LCM of 705 and 711

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

LCM of:
and

Least Common Multiple of 705 and 711

LCM of 705 and 711 is 167085

Least common multiple can be found by multiplying the highest exponent prime factors of 705 and 711. First we will calculate the prime factors of 705 and 711.

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 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

Now multiplying the highest exponent prime factors to calculate the LCM of 705 and 711.

LCM(705,711) = 32×51×471×791
LCM(705,711) = 167085

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 711

List of positive integer factors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Least Common Multiple of 705 and 711 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 711, than apply into the LCM equation.

GCF(705,711) = 3
LCM(705,711) = ( 705 × 711) / 3
LCM(705,711) = 501255 / 3
LCM(705,711) = 167085

Properties of LCM 705 and 711

(i) The LCM of 711 and 705 is associative

LCM of 705 and 711 = LCM of 711 and 705

Related Least Common Multiples of 705

Related Least Common Multiples of 711

Frequently Asked Questions on LCM of 705 and 711

1. What is the LCM of 705 and 711?

Answer: LCM of 705 and 711 is 167085.

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 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

4. How to Find the LCM of 705 and 711?

Answer:

Least Common Multiple of 705 and 711 = 167085

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

Step 2: Find the prime factorization of 711

711 = 3 x 3 x 79

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

LCM = 167085 = 3 x 3 x 5 x 47 x 79

Step 4: Therefore, the least common multiple of 705 and 711 is 167085.