Least Common Multiple of 7677 and 7683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7677 and 7683 the smallest integer that is 19660797 that is divisible by both numbers.

Least Common Multiple (LCM) of 7677 and 7683 is 19660797.

LCM(7677,7683) = 19660797

LCM of 7677 and 7683

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

LCM of:
and

Least Common Multiple of 7677 and 7683

LCM of 7677 and 7683 is 19660797

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7683. First we will calculate the prime factors of 7677 and 7683.

Prime Factorization of 7677


3 7677
3 2559
853 853
1

Prime factors of 7677 are 3,853. Prime factorization of 7677 in exponential form is:

7677 = 32×8531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7683.

LCM(7677,7683) = 32×131×1971×8531
LCM(7677,7683) = 19660797

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1, 3, 9, 853, 2559, 7677

Factors of 7683

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

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

Least Common Multiple of 7677 and 7683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7677 and 7683, than apply into the LCM equation.

GCF(7677,7683) = 3
LCM(7677,7683) = ( 7677 × 7683) / 3
LCM(7677,7683) = 58982391 / 3
LCM(7677,7683) = 19660797

Properties of LCM 7677 and 7683

(i) The LCM of 7683 and 7677 is associative

LCM of 7677 and 7683 = LCM of 7683 and 7677

Related Least Common Multiples of 7677

Related Least Common Multiples of 7683

Frequently Asked Questions on LCM of 7677 and 7683

1. What is the LCM of 7677 and 7683?

Answer: LCM of 7677 and 7683 is 19660797.

2. What are the Factors of 7677?

Answer: Factors of 7677 are 1, 3, 9, 853, 2559, 7677. There are 6 integers that are factors of 7677. The greatest factor of 7677 is 7677.

3. 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.

4. How to Find the LCM of 7677 and 7683?

Answer:

Least Common Multiple of 7677 and 7683 = 19660797

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7683

7683 = 3 x 13 x 197

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

LCM = 19660797 = 3 x 3 x 13 x 197 x 853

Step 4: Therefore, the least common multiple of 7677 and 7683 is 19660797.