Least Common Multiple of 7683 and 7689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7683 and 7689 the smallest integer that is 19691529 that is divisible by both numbers.

Least Common Multiple (LCM) of 7683 and 7689 is 19691529.

LCM(7683,7689) = 19691529

LCM of 7683 and 7689

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

LCM of:
and

Least Common Multiple of 7683 and 7689

LCM of 7683 and 7689 is 19691529

Least common multiple can be found by multiplying the highest exponent prime factors of 7683 and 7689. First we will calculate the prime factors of 7683 and 7689.

Prime Factorization of 7683


3 7683
13 2561
197 197
1

Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:

7683 = 31×131×1971

Prime Factorization of 7689


3 7689
11 2563
233 233
1

Prime factors of 7689 are 3, 11,233. Prime factorization of 7689 in exponential form is:

7689 = 31×111×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 7683 and 7689.

LCM(7683,7689) = 31×111×131×1971×2331
LCM(7683,7689) = 19691529

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1, 3, 13, 39, 197, 591, 2561, 7683

Factors of 7689

List of positive integer factors of 7689 that divides 7689 without a remainder.

1, 3, 11, 33, 233, 699, 2563, 7689

Least Common Multiple of 7683 and 7689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7683 and 7689, than apply into the LCM equation.

GCF(7683,7689) = 3
LCM(7683,7689) = ( 7683 × 7689) / 3
LCM(7683,7689) = 59074587 / 3
LCM(7683,7689) = 19691529

Properties of LCM 7683 and 7689

(i) The LCM of 7689 and 7683 is associative

LCM of 7683 and 7689 = LCM of 7689 and 7683

Related Least Common Multiples of 7683

Related Least Common Multiples of 7689

Frequently Asked Questions on LCM of 7683 and 7689

1. What is the LCM of 7683 and 7689?

Answer: LCM of 7683 and 7689 is 19691529.

2. What are the Factors of 7683?

Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.

3. What are the Factors of 7689?

Answer: Factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689. There are 8 integers that are factors of 7689. The greatest factor of 7689 is 7689.

4. How to Find the LCM of 7683 and 7689?

Answer:

Least Common Multiple of 7683 and 7689 = 19691529

Step 1: Find the prime factorization of 7683

7683 = 3 x 13 x 197

Step 2: Find the prime factorization of 7689

7689 = 3 x 11 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 = 19691529 = 3 x 11 x 13 x 197 x 233

Step 4: Therefore, the least common multiple of 7683 and 7689 is 19691529.