Least Common Multiple of 694 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 694 and 702 the smallest integer that is 243594 that is divisible by both numbers.

Least Common Multiple (LCM) of 694 and 702 is 243594.

LCM(694,702) = 243594

LCM of 694 and 702

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

LCM of:
and

Least Common Multiple of 694 and 702

LCM of 694 and 702 is 243594

Least common multiple can be found by multiplying the highest exponent prime factors of 694 and 702. First we will calculate the prime factors of 694 and 702.

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

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 694 and 702.

LCM(694,702) = 21×33×131×3471
LCM(694,702) = 243594

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 694 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 694 and 702, than apply into the LCM equation.

GCF(694,702) = 2
LCM(694,702) = ( 694 × 702) / 2
LCM(694,702) = 487188 / 2
LCM(694,702) = 243594

Properties of LCM 694 and 702

(i) The LCM of 702 and 694 is associative

LCM of 694 and 702 = LCM of 702 and 694

Related Least Common Multiples of 694

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 694 and 702

1. What is the LCM of 694 and 702?

Answer: LCM of 694 and 702 is 243594.

2. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

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 694 and 702?

Answer:

Least Common Multiple of 694 and 702 = 243594

Step 1: Find the prime factorization of 694

694 = 2 x 347

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 = 243594 = 2 x 3 x 3 x 3 x 13 x 347

Step 4: Therefore, the least common multiple of 694 and 702 is 243594.