Least Common Multiple of 7669 and 7677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7669 and 7677 the smallest integer that is 58874913 that is divisible by both numbers.

Least Common Multiple (LCM) of 7669 and 7677 is 58874913.

LCM(7669,7677) = 58874913

LCM of 7669 and 7677

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

LCM of:
and

Least Common Multiple of 7669 and 7677

LCM of 7669 and 7677 is 58874913

Least common multiple can be found by multiplying the highest exponent prime factors of 7669 and 7677. First we will calculate the prime factors of 7669 and 7677.

Prime Factorization of 7669


7669 7669
1

Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:

7669 = 76691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7669 and 7677.

LCM(7669,7677) = 32×8531×76691
LCM(7669,7677) = 58874913

Factors of 7669

List of positive integer factors of 7669 that divides 7669 without a remainder.

1, 7669

Factors of 7677

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

1, 3, 9, 853, 2559, 7677

Least Common Multiple of 7669 and 7677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7669 and 7677, than apply into the LCM equation.

GCF(7669,7677) = 1
LCM(7669,7677) = ( 7669 × 7677) / 1
LCM(7669,7677) = 58874913 / 1
LCM(7669,7677) = 58874913

Properties of LCM 7669 and 7677

(i) The LCM of 7677 and 7669 is associative

LCM of 7669 and 7677 = LCM of 7677 and 7669

Related Least Common Multiples of 7669

Related Least Common Multiples of 7677

Frequently Asked Questions on LCM of 7669 and 7677

1. What is the LCM of 7669 and 7677?

Answer: LCM of 7669 and 7677 is 58874913.

2. What are the Factors of 7669?

Answer: Factors of 7669 are 1, 7669. There are 2 integers that are factors of 7669. The greatest factor of 7669 is 7669.

3. 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.

4. How to Find the LCM of 7669 and 7677?

Answer:

Least Common Multiple of 7669 and 7677 = 58874913

Step 1: Find the prime factorization of 7669

7669 = 7669

Step 2: Find the prime factorization of 7677

7677 = 3 x 3 x 853

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

LCM = 58874913 = 3 x 3 x 853 x 7669

Step 4: Therefore, the least common multiple of 7669 and 7677 is 58874913.