Least Common Multiple of 706 and 714

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 714 the smallest integer that is 252042 that is divisible by both numbers.

Least Common Multiple (LCM) of 706 and 714 is 252042.

LCM(706,714) = 252042

LCM of 706 and 714

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

LCM of:
and

Least Common Multiple of 706 and 714

LCM of 706 and 714 is 252042

Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 714. First we will calculate the prime factors of 706 and 714.

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 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 706 and 714.

LCM(706,714) = 21×31×71×171×3531
LCM(706,714) = 252042

Factors of 706

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

1, 2, 353, 706

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Least Common Multiple of 706 and 714 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 714, than apply into the LCM equation.

GCF(706,714) = 2
LCM(706,714) = ( 706 × 714) / 2
LCM(706,714) = 504084 / 2
LCM(706,714) = 252042

Properties of LCM 706 and 714

(i) The LCM of 714 and 706 is associative

LCM of 706 and 714 = LCM of 714 and 706

Related Least Common Multiples of 706

Related Least Common Multiples of 714

Frequently Asked Questions on LCM of 706 and 714

1. What is the LCM of 706 and 714?

Answer: LCM of 706 and 714 is 252042.

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 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

4. How to Find the LCM of 706 and 714?

Answer:

Least Common Multiple of 706 and 714 = 252042

Step 1: Find the prime factorization of 706

706 = 2 x 353

Step 2: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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

LCM = 252042 = 2 x 3 x 7 x 17 x 353

Step 4: Therefore, the least common multiple of 706 and 714 is 252042.