Least Common Multiple of 706 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 706 and 711 the smallest integer that is 501966 that is divisible by both numbers.

Least Common Multiple (LCM) of 706 and 711 is 501966.

LCM(706,711) = 501966

LCM of 706 and 711

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

LCM of:
and

Least Common Multiple of 706 and 711

LCM of 706 and 711 is 501966

Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 711. First we will calculate the prime factors of 706 and 711.

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

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 706 and 711.

LCM(706,711) = 21×32×791×3531
LCM(706,711) = 501966

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 706 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 706 and 711, than apply into the LCM equation.

GCF(706,711) = 1
LCM(706,711) = ( 706 × 711) / 1
LCM(706,711) = 501966 / 1
LCM(706,711) = 501966

Properties of LCM 706 and 711

(i) The LCM of 711 and 706 is associative

LCM of 706 and 711 = LCM of 711 and 706

Related Least Common Multiples of 706

Related Least Common Multiples of 711

Frequently Asked Questions on LCM of 706 and 711

1. What is the LCM of 706 and 711?

Answer: LCM of 706 and 711 is 501966.

2. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

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 706 and 711?

Answer:

Least Common Multiple of 706 and 711 = 501966

Step 1: Find the prime factorization of 706

706 = 2 x 353

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 = 501966 = 2 x 3 x 3 x 79 x 353

Step 4: Therefore, the least common multiple of 706 and 711 is 501966.