Least Common Multiple of 7636 and 7640

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 7640 the smallest integer that is 14584760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7636 and 7640 is 14584760.

LCM(7636,7640) = 14584760

LCM of 7636 and 7640

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

LCM of:
and

Least Common Multiple of 7636 and 7640

LCM of 7636 and 7640 is 14584760

Least common multiple can be found by multiplying the highest exponent prime factors of 7636 and 7640. First we will calculate the prime factors of 7636 and 7640.

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 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2, 5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7636 and 7640.

LCM(7636,7640) = 23×51×231×831×1911
LCM(7636,7640) = 14584760

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 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

Least Common Multiple of 7636 and 7640 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 7640, than apply into the LCM equation.

GCF(7636,7640) = 4
LCM(7636,7640) = ( 7636 × 7640) / 4
LCM(7636,7640) = 58339040 / 4
LCM(7636,7640) = 14584760

Properties of LCM 7636 and 7640

(i) The LCM of 7640 and 7636 is associative

LCM of 7636 and 7640 = LCM of 7640 and 7636

Related Least Common Multiples of 7636

Related Least Common Multiples of 7640

Frequently Asked Questions on LCM of 7636 and 7640

1. What is the LCM of 7636 and 7640?

Answer: LCM of 7636 and 7640 is 14584760.

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 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

4. How to Find the LCM of 7636 and 7640?

Answer:

Least Common Multiple of 7636 and 7640 = 14584760

Step 1: Find the prime factorization of 7636

7636 = 2 x 2 x 23 x 83

Step 2: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

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

LCM = 14584760 = 2 x 2 x 2 x 5 x 23 x 83 x 191

Step 4: Therefore, the least common multiple of 7636 and 7640 is 14584760.