Least Common Multiple of 692 and 697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 692 and 697 the smallest integer that is 482324 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 697 is 482324.

LCM(692,697) = 482324

LCM of 692 and 697

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

LCM of:
and

Least Common Multiple of 692 and 697

LCM of 692 and 697 is 482324

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 697. First we will calculate the prime factors of 692 and 697.

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

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 692 and 697.

LCM(692,697) = 22×171×411×1731
LCM(692,697) = 482324

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Least Common Multiple of 692 and 697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 692 and 697, than apply into the LCM equation.

GCF(692,697) = 1
LCM(692,697) = ( 692 × 697) / 1
LCM(692,697) = 482324 / 1
LCM(692,697) = 482324

Properties of LCM 692 and 697

(i) The LCM of 697 and 692 is associative

LCM of 692 and 697 = LCM of 697 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 697

Frequently Asked Questions on LCM of 692 and 697

1. What is the LCM of 692 and 697?

Answer: LCM of 692 and 697 is 482324.

2. 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.

3. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

4. How to Find the LCM of 692 and 697?

Answer:

Least Common Multiple of 692 and 697 = 482324

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 697

697 = 17 x 41

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

LCM = 482324 = 2 x 2 x 17 x 41 x 173

Step 4: Therefore, the least common multiple of 692 and 697 is 482324.