Least Common Multiple of 691 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 691 and 692 the smallest integer that is 478172 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 692 is 478172.

LCM(691,692) = 478172

LCM of 691 and 692

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

LCM of:
and

Least Common Multiple of 691 and 692

LCM of 691 and 692 is 478172

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 692. First we will calculate the prime factors of 691 and 692.

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

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 691 and 692.

LCM(691,692) = 22×1731×6911
LCM(691,692) = 478172

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

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 691 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 691 and 692, than apply into the LCM equation.

GCF(691,692) = 1
LCM(691,692) = ( 691 × 692) / 1
LCM(691,692) = 478172 / 1
LCM(691,692) = 478172

Properties of LCM 691 and 692

(i) The LCM of 692 and 691 is associative

LCM of 691 and 692 = LCM of 692 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 692

Frequently Asked Questions on LCM of 691 and 692

1. What is the LCM of 691 and 692?

Answer: LCM of 691 and 692 is 478172.

2. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

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 691 and 692?

Answer:

Least Common Multiple of 691 and 692 = 478172

Step 1: Find the prime factorization of 691

691 = 691

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 = 478172 = 2 x 2 x 173 x 691

Step 4: Therefore, the least common multiple of 691 and 692 is 478172.