Least Common Multiple of 687 and 695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 687 and 695 the smallest integer that is 477465 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 695 is 477465.

LCM(687,695) = 477465

LCM of 687 and 695

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

LCM of:
and

Least Common Multiple of 687 and 695

LCM of 687 and 695 is 477465

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 695. First we will calculate the prime factors of 687 and 695.

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 687 and 695.

LCM(687,695) = 31×51×1391×2291
LCM(687,695) = 477465

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Factors of 695

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

1, 5, 139, 695

Least Common Multiple of 687 and 695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 687 and 695, than apply into the LCM equation.

GCF(687,695) = 1
LCM(687,695) = ( 687 × 695) / 1
LCM(687,695) = 477465 / 1
LCM(687,695) = 477465

Properties of LCM 687 and 695

(i) The LCM of 695 and 687 is associative

LCM of 687 and 695 = LCM of 695 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 687 and 695

1. What is the LCM of 687 and 695?

Answer: LCM of 687 and 695 is 477465.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

3. 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.

4. How to Find the LCM of 687 and 695?

Answer:

Least Common Multiple of 687 and 695 = 477465

Step 1: Find the prime factorization of 687

687 = 3 x 229

Step 2: Find the prime factorization of 695

695 = 5 x 139

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

LCM = 477465 = 3 x 5 x 139 x 229

Step 4: Therefore, the least common multiple of 687 and 695 is 477465.