Least Common Multiple of 700 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 700 and 702 the smallest integer that is 245700 that is divisible by both numbers.

Least Common Multiple (LCM) of 700 and 702 is 245700.

LCM(700,702) = 245700

LCM of 700 and 702

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

LCM of:
and

Least Common Multiple of 700 and 702

LCM of 700 and 702 is 245700

Least common multiple can be found by multiplying the highest exponent prime factors of 700 and 702. First we will calculate the prime factors of 700 and 702.

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

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 700 and 702.

LCM(700,702) = 22×33×52×71×131
LCM(700,702) = 245700

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 700 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 700 and 702, than apply into the LCM equation.

GCF(700,702) = 2
LCM(700,702) = ( 700 × 702) / 2
LCM(700,702) = 491400 / 2
LCM(700,702) = 245700

Properties of LCM 700 and 702

(i) The LCM of 702 and 700 is associative

LCM of 700 and 702 = LCM of 702 and 700

Related Least Common Multiples of 700

Related Least Common Multiples of 702

Frequently Asked Questions on LCM of 700 and 702

1. What is the LCM of 700 and 702?

Answer: LCM of 700 and 702 is 245700.

2. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

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 700 and 702?

Answer:

Least Common Multiple of 700 and 702 = 245700

Step 1: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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 = 245700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 700 and 702 is 245700.