Least Common Multiple of 695 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 695 and 702 the smallest integer that is 487890 that is divisible by both numbers.

Least Common Multiple (LCM) of 695 and 702 is 487890.

LCM(695,702) = 487890

LCM of 695 and 702

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

LCM of:
and

Least Common Multiple of 695 and 702

LCM of 695 and 702 is 487890

Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 702. First we will calculate the prime factors of 695 and 702.

Prime Factorization of 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

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 695 and 702.

LCM(695,702) = 21×33×51×131×1391
LCM(695,702) = 487890

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1, 5, 139, 695

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 695 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 695 and 702, than apply into the LCM equation.

GCF(695,702) = 1
LCM(695,702) = ( 695 × 702) / 1
LCM(695,702) = 487890 / 1
LCM(695,702) = 487890

Properties of LCM 695 and 702

(i) The LCM of 702 and 695 is associative

LCM of 695 and 702 = LCM of 702 and 695

Related Least Common Multiples of 695

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 695 and 702

1. What is the LCM of 695 and 702?

Answer: LCM of 695 and 702 is 487890.

2. What are the Factors of 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

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 695 and 702?

Answer:

Least Common Multiple of 695 and 702 = 487890

Step 1: Find the prime factorization of 695

695 = 5 x 139

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 = 487890 = 2 x 3 x 3 x 3 x 5 x 13 x 139

Step 4: Therefore, the least common multiple of 695 and 702 is 487890.