Least Common Multiple of 7633 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 7633 and 7640 the smallest integer that is 58316120 that is divisible by both numbers.

Least Common Multiple (LCM) of 7633 and 7640 is 58316120.

LCM(7633,7640) = 58316120

LCM of 7633 and 7640

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

LCM of:
and

Least Common Multiple of 7633 and 7640

LCM of 7633 and 7640 is 58316120

Least common multiple can be found by multiplying the highest exponent prime factors of 7633 and 7640. First we will calculate the prime factors of 7633 and 7640.

Prime Factorization of 7633


17 7633
449 449
1

Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:

7633 = 171×4491

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 7633 and 7640.

LCM(7633,7640) = 23×51×171×1911×4491
LCM(7633,7640) = 58316120

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1, 17, 449, 7633

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 7633 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 7633 and 7640, than apply into the LCM equation.

GCF(7633,7640) = 1
LCM(7633,7640) = ( 7633 × 7640) / 1
LCM(7633,7640) = 58316120 / 1
LCM(7633,7640) = 58316120

Properties of LCM 7633 and 7640

(i) The LCM of 7640 and 7633 is associative

LCM of 7633 and 7640 = LCM of 7640 and 7633

Related Least Common Multiples of 7633

Related Least Common Multiples of 7640

Frequently Asked Questions on LCM of 7633 and 7640

1. What is the LCM of 7633 and 7640?

Answer: LCM of 7633 and 7640 is 58316120.

2. What are the Factors of 7633?

Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.

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 7633 and 7640?

Answer:

Least Common Multiple of 7633 and 7640 = 58316120

Step 1: Find the prime factorization of 7633

7633 = 17 x 449

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 = 58316120 = 2 x 2 x 2 x 5 x 17 x 191 x 449

Step 4: Therefore, the least common multiple of 7633 and 7640 is 58316120.