Least Common Multiple of 699 and 702

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 702 the smallest integer that is 163566 that is divisible by both numbers.

Least Common Multiple (LCM) of 699 and 702 is 163566.

LCM(699,702) = 163566

LCM of 699 and 702

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

LCM of:
and

Least Common Multiple of 699 and 702

LCM of 699 and 702 is 163566

Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 702. First we will calculate the prime factors of 699 and 702.

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 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2, 3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 702.

LCM(699,702) = 21×33×131×2331
LCM(699,702) = 163566

Factors of 699

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

1, 3, 233, 699

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Least Common Multiple of 699 and 702 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 702, than apply into the LCM equation.

GCF(699,702) = 3
LCM(699,702) = ( 699 × 702) / 3
LCM(699,702) = 490698 / 3
LCM(699,702) = 163566

Properties of LCM 699 and 702

(i) The LCM of 702 and 699 is associative

LCM of 699 and 702 = LCM of 702 and 699

Related Least Common Multiples of 699

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 699 and 702

1. What is the LCM of 699 and 702?

Answer: LCM of 699 and 702 is 163566.

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 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

4. How to Find the LCM of 699 and 702?

Answer:

Least Common Multiple of 699 and 702 = 163566

Step 1: Find the prime factorization of 699

699 = 3 x 233

Step 2: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

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

LCM = 163566 = 2 x 3 x 3 x 3 x 13 x 233

Step 4: Therefore, the least common multiple of 699 and 702 is 163566.