Least Common Multiple of 7655 and 7659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7655 and 7659 the smallest integer that is 58629645 that is divisible by both numbers.

Least Common Multiple (LCM) of 7655 and 7659 is 58629645.

LCM(7655,7659) = 58629645

LCM of 7655 and 7659

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

LCM of:
and

Least Common Multiple of 7655 and 7659

LCM of 7655 and 7659 is 58629645

Least common multiple can be found by multiplying the highest exponent prime factors of 7655 and 7659. First we will calculate the prime factors of 7655 and 7659.

Prime Factorization of 7655


5 7655
1531 1531
1

Prime factors of 7655 are 5,1531. Prime factorization of 7655 in exponential form is:

7655 = 51×15311

Prime Factorization of 7659


3 7659
3 2553
23 851
37 37
1

Prime factors of 7659 are 3, 23,37. Prime factorization of 7659 in exponential form is:

7659 = 32×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7655 and 7659.

LCM(7655,7659) = 32×51×231×371×15311
LCM(7655,7659) = 58629645

Factors of 7655

List of positive integer factors of 7655 that divides 7655 without a remainder.

1, 5, 1531, 7655

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659

Least Common Multiple of 7655 and 7659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7655 and 7659, than apply into the LCM equation.

GCF(7655,7659) = 1
LCM(7655,7659) = ( 7655 × 7659) / 1
LCM(7655,7659) = 58629645 / 1
LCM(7655,7659) = 58629645

Properties of LCM 7655 and 7659

(i) The LCM of 7659 and 7655 is associative

LCM of 7655 and 7659 = LCM of 7659 and 7655

Related Least Common Multiples of 7655

Related Least Common Multiples of 7659

Frequently Asked Questions on LCM of 7655 and 7659

1. What is the LCM of 7655 and 7659?

Answer: LCM of 7655 and 7659 is 58629645.

2. What are the Factors of 7655?

Answer: Factors of 7655 are 1, 5, 1531, 7655. There are 4 integers that are factors of 7655. The greatest factor of 7655 is 7655.

3. What are the Factors of 7659?

Answer: Factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659. There are 12 integers that are factors of 7659. The greatest factor of 7659 is 7659.

4. How to Find the LCM of 7655 and 7659?

Answer:

Least Common Multiple of 7655 and 7659 = 58629645

Step 1: Find the prime factorization of 7655

7655 = 5 x 1531

Step 2: Find the prime factorization of 7659

7659 = 3 x 3 x 23 x 37

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

LCM = 58629645 = 3 x 3 x 5 x 23 x 37 x 1531

Step 4: Therefore, the least common multiple of 7655 and 7659 is 58629645.