Least Common Multiple of 7636 and 7641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7636 and 7641 the smallest integer that is 58346676 that is divisible by both numbers.

Least Common Multiple (LCM) of 7636 and 7641 is 58346676.

LCM(7636,7641) = 58346676

LCM of 7636 and 7641

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

LCM of:
and

Least Common Multiple of 7636 and 7641

LCM of 7636 and 7641 is 58346676

Least common multiple can be found by multiplying the highest exponent prime factors of 7636 and 7641. First we will calculate the prime factors of 7636 and 7641.

Prime Factorization of 7636


2 7636
2 3818
23 1909
83 83
1

Prime factors of 7636 are 2, 23,83. Prime factorization of 7636 in exponential form is:

7636 = 22×231×831

Prime Factorization of 7641


3 7641
3 2547
3 849
283 283
1

Prime factors of 7641 are 3,283. Prime factorization of 7641 in exponential form is:

7641 = 33×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7636 and 7641.

LCM(7636,7641) = 22×33×231×831×2831
LCM(7636,7641) = 58346676

Factors of 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636

Factors of 7641

List of positive integer factors of 7641 that divides 7641 without a remainder.

1, 3, 9, 27, 283, 849, 2547, 7641

Least Common Multiple of 7636 and 7641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7636 and 7641, than apply into the LCM equation.

GCF(7636,7641) = 1
LCM(7636,7641) = ( 7636 × 7641) / 1
LCM(7636,7641) = 58346676 / 1
LCM(7636,7641) = 58346676

Properties of LCM 7636 and 7641

(i) The LCM of 7641 and 7636 is associative

LCM of 7636 and 7641 = LCM of 7641 and 7636

Related Least Common Multiples of 7636

Related Least Common Multiples of 7641

Frequently Asked Questions on LCM of 7636 and 7641

1. What is the LCM of 7636 and 7641?

Answer: LCM of 7636 and 7641 is 58346676.

2. What are the Factors of 7636?

Answer: Factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636. There are 12 integers that are factors of 7636. The greatest factor of 7636 is 7636.

3. What are the Factors of 7641?

Answer: Factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641. There are 8 integers that are factors of 7641. The greatest factor of 7641 is 7641.

4. How to Find the LCM of 7636 and 7641?

Answer:

Least Common Multiple of 7636 and 7641 = 58346676

Step 1: Find the prime factorization of 7636

7636 = 2 x 2 x 23 x 83

Step 2: Find the prime factorization of 7641

7641 = 3 x 3 x 3 x 283

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

LCM = 58346676 = 2 x 2 x 3 x 3 x 3 x 23 x 83 x 283

Step 4: Therefore, the least common multiple of 7636 and 7641 is 58346676.