Least Common Multiple of 687 and 692

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 692 the smallest integer that is 475404 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 692 is 475404.

LCM(687,692) = 475404

LCM of 687 and 692

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

LCM of:
and

Least Common Multiple of 687 and 692

LCM of 687 and 692 is 475404

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 692. First we will calculate the prime factors of 687 and 692.

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 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 687 and 692.

LCM(687,692) = 22×31×1731×2291
LCM(687,692) = 475404

Factors of 687

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

1, 3, 229, 687

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Least Common Multiple of 687 and 692 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 692, than apply into the LCM equation.

GCF(687,692) = 1
LCM(687,692) = ( 687 × 692) / 1
LCM(687,692) = 475404 / 1
LCM(687,692) = 475404

Properties of LCM 687 and 692

(i) The LCM of 692 and 687 is associative

LCM of 687 and 692 = LCM of 692 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 692

Frequently Asked Questions on LCM of 687 and 692

1. What is the LCM of 687 and 692?

Answer: LCM of 687 and 692 is 475404.

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 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

4. How to Find the LCM of 687 and 692?

Answer:

Least Common Multiple of 687 and 692 = 475404

Step 1: Find the prime factorization of 687

687 = 3 x 229

Step 2: Find the prime factorization of 692

692 = 2 x 2 x 173

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

LCM = 475404 = 2 x 2 x 3 x 173 x 229

Step 4: Therefore, the least common multiple of 687 and 692 is 475404.