Least Common Multiple of 695 and 700

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 700 the smallest integer that is 97300 that is divisible by both numbers.

Least Common Multiple (LCM) of 695 and 700 is 97300.

LCM(695,700) = 97300

LCM of 695 and 700

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

LCM of:
and

Least Common Multiple of 695 and 700

LCM of 695 and 700 is 97300

Least common multiple can be found by multiplying the highest exponent prime factors of 695 and 700. First we will calculate the prime factors of 695 and 700.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 695 and 700.

LCM(695,700) = 22×52×71×1391
LCM(695,700) = 97300

Factors of 695

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

1, 5, 139, 695

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

Least Common Multiple of 695 and 700 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 700, than apply into the LCM equation.

GCF(695,700) = 5
LCM(695,700) = ( 695 × 700) / 5
LCM(695,700) = 486500 / 5
LCM(695,700) = 97300

Properties of LCM 695 and 700

(i) The LCM of 700 and 695 is associative

LCM of 695 and 700 = LCM of 700 and 695

Related Least Common Multiples of 695

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 695 and 700

1. What is the LCM of 695 and 700?

Answer: LCM of 695 and 700 is 97300.

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 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.

4. How to Find the LCM of 695 and 700?

Answer:

Least Common Multiple of 695 and 700 = 97300

Step 1: Find the prime factorization of 695

695 = 5 x 139

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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

LCM = 97300 = 2 x 2 x 5 x 5 x 7 x 139

Step 4: Therefore, the least common multiple of 695 and 700 is 97300.