Least Common Multiple of 7677 and 7685

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 7685 the smallest integer that is 58997745 that is divisible by both numbers.

Least Common Multiple (LCM) of 7677 and 7685 is 58997745.

LCM(7677,7685) = 58997745

LCM of 7677 and 7685

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

LCM of:
and

Least Common Multiple of 7677 and 7685

LCM of 7677 and 7685 is 58997745

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7685. First we will calculate the prime factors of 7677 and 7685.

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 7685


5 7685
29 1537
53 53
1

Prime factors of 7685 are 5, 29,53. Prime factorization of 7685 in exponential form is:

7685 = 51×291×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7685.

LCM(7677,7685) = 32×51×291×531×8531
LCM(7677,7685) = 58997745

Factors of 7677

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

1, 3, 9, 853, 2559, 7677

Factors of 7685

List of positive integer factors of 7685 that divides 7685 without a remainder.

1, 5, 29, 53, 145, 265, 1537, 7685

Least Common Multiple of 7677 and 7685 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 7685, than apply into the LCM equation.

GCF(7677,7685) = 1
LCM(7677,7685) = ( 7677 × 7685) / 1
LCM(7677,7685) = 58997745 / 1
LCM(7677,7685) = 58997745

Properties of LCM 7677 and 7685

(i) The LCM of 7685 and 7677 is associative

LCM of 7677 and 7685 = LCM of 7685 and 7677

Related Least Common Multiples of 7677

Related Least Common Multiples of 7685

Frequently Asked Questions on LCM of 7677 and 7685

1. What is the LCM of 7677 and 7685?

Answer: LCM of 7677 and 7685 is 58997745.

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 7685?

Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.

4. How to Find the LCM of 7677 and 7685?

Answer:

Least Common Multiple of 7677 and 7685 = 58997745

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7685

7685 = 5 x 29 x 53

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

LCM = 58997745 = 3 x 3 x 5 x 29 x 53 x 853

Step 4: Therefore, the least common multiple of 7677 and 7685 is 58997745.