Least Common Multiple of 699 and 706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 699 and 706 the smallest integer that is 493494 that is divisible by both numbers.

Least Common Multiple (LCM) of 699 and 706 is 493494.

LCM(699,706) = 493494

LCM of 699 and 706

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

LCM of:
and

Least Common Multiple of 699 and 706

LCM of 699 and 706 is 493494

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 706. First we will calculate the prime factors of 699 and 706.

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 706.

LCM(699,706) = 21×31×2331×3531
LCM(699,706) = 493494

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Factors of 706

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

1, 2, 353, 706

Least Common Multiple of 699 and 706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 699 and 706, than apply into the LCM equation.

GCF(699,706) = 1
LCM(699,706) = ( 699 × 706) / 1
LCM(699,706) = 493494 / 1
LCM(699,706) = 493494

Properties of LCM 699 and 706

(i) The LCM of 706 and 699 is associative

LCM of 699 and 706 = LCM of 706 and 699

Related Least Common Multiples of 699

Related Least Common Multiples of 706

Frequently Asked Questions on LCM of 699 and 706

1. What is the LCM of 699 and 706?

Answer: LCM of 699 and 706 is 493494.

2. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

3. 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.

4. How to Find the LCM of 699 and 706?

Answer:

Least Common Multiple of 699 and 706 = 493494

Step 1: Find the prime factorization of 699

699 = 3 x 233

Step 2: Find the prime factorization of 706

706 = 2 x 353

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

LCM = 493494 = 2 x 3 x 233 x 353

Step 4: Therefore, the least common multiple of 699 and 706 is 493494.