Least Common Multiple of 692 and 699

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 699 the smallest integer that is 483708 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 699 is 483708.

LCM(692,699) = 483708

LCM of 692 and 699

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

LCM of:
and

Least Common Multiple of 692 and 699

LCM of 692 and 699 is 483708

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 699. First we will calculate the prime factors of 692 and 699.

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 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 692 and 699.

LCM(692,699) = 22×31×1731×2331
LCM(692,699) = 483708

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Least Common Multiple of 692 and 699 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 699, than apply into the LCM equation.

GCF(692,699) = 1
LCM(692,699) = ( 692 × 699) / 1
LCM(692,699) = 483708 / 1
LCM(692,699) = 483708

Properties of LCM 692 and 699

(i) The LCM of 699 and 692 is associative

LCM of 692 and 699 = LCM of 699 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 699

Frequently Asked Questions on LCM of 692 and 699

1. What is the LCM of 692 and 699?

Answer: LCM of 692 and 699 is 483708.

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 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the LCM of 692 and 699?

Answer:

Least Common Multiple of 692 and 699 = 483708

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

LCM = 483708 = 2 x 2 x 3 x 173 x 233

Step 4: Therefore, the least common multiple of 692 and 699 is 483708.