Least Common Multiple of 697 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 697 and 702 the smallest integer that is 489294 that is divisible by both numbers.

Least Common Multiple (LCM) of 697 and 702 is 489294.

LCM(697,702) = 489294

LCM of 697 and 702

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

LCM of:
and

Least Common Multiple of 697 and 702

LCM of 697 and 702 is 489294

Least common multiple can be found by multiplying the highest exponent prime factors of 697 and 702. First we will calculate the prime factors of 697 and 702.

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

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 697 and 702.

LCM(697,702) = 21×33×131×171×411
LCM(697,702) = 489294

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

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 697 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 697 and 702, than apply into the LCM equation.

GCF(697,702) = 1
LCM(697,702) = ( 697 × 702) / 1
LCM(697,702) = 489294 / 1
LCM(697,702) = 489294

Properties of LCM 697 and 702

(i) The LCM of 702 and 697 is associative

LCM of 697 and 702 = LCM of 702 and 697

Related Least Common Multiples of 697

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 697 and 702

1. What is the LCM of 697 and 702?

Answer: LCM of 697 and 702 is 489294.

2. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

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 697 and 702?

Answer:

Least Common Multiple of 697 and 702 = 489294

Step 1: Find the prime factorization of 697

697 = 17 x 41

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 = 489294 = 2 x 3 x 3 x 3 x 13 x 17 x 41

Step 4: Therefore, the least common multiple of 697 and 702 is 489294.