Least Common Multiple of 7677 and 7681

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 7681 the smallest integer that is 58967037 that is divisible by both numbers.

Least Common Multiple (LCM) of 7677 and 7681 is 58967037.

LCM(7677,7681) = 58967037

LCM of 7677 and 7681

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

LCM of:
and

Least Common Multiple of 7677 and 7681

LCM of 7677 and 7681 is 58967037

Least common multiple can be found by multiplying the highest exponent prime factors of 7677 and 7681. First we will calculate the prime factors of 7677 and 7681.

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 7681


7681 7681
1

Prime factors of 7681 are 7681. Prime factorization of 7681 in exponential form is:

7681 = 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 7677 and 7681.

LCM(7677,7681) = 32×8531×76811
LCM(7677,7681) = 58967037

Factors of 7677

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

1, 3, 9, 853, 2559, 7677

Factors of 7681

List of positive integer factors of 7681 that divides 7681 without a remainder.

1, 7681

Least Common Multiple of 7677 and 7681 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 7681, than apply into the LCM equation.

GCF(7677,7681) = 1
LCM(7677,7681) = ( 7677 × 7681) / 1
LCM(7677,7681) = 58967037 / 1
LCM(7677,7681) = 58967037

Properties of LCM 7677 and 7681

(i) The LCM of 7681 and 7677 is associative

LCM of 7677 and 7681 = LCM of 7681 and 7677

Related Least Common Multiples of 7677

Related Least Common Multiples of 7681

Frequently Asked Questions on LCM of 7677 and 7681

1. What is the LCM of 7677 and 7681?

Answer: LCM of 7677 and 7681 is 58967037.

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 7681?

Answer: Factors of 7681 are 1, 7681. There are 2 integers that are factors of 7681. The greatest factor of 7681 is 7681.

4. How to Find the LCM of 7677 and 7681?

Answer:

Least Common Multiple of 7677 and 7681 = 58967037

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7681

7681 = 7681

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

LCM = 58967037 = 3 x 3 x 853 x 7681

Step 4: Therefore, the least common multiple of 7677 and 7681 is 58967037.