Least Common Multiple of 7640 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 7640 and 7641 the smallest integer that is 58377240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7641 is 58377240.

LCM(7640,7641) = 58377240

LCM of 7640 and 7641

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

LCM of:
and

Least Common Multiple of 7640 and 7641

LCM of 7640 and 7641 is 58377240

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7641. First we will calculate the prime factors of 7640 and 7641.

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

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 7640 and 7641.

LCM(7640,7641) = 23×33×51×1911×2831
LCM(7640,7641) = 58377240

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

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 7640 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 7640 and 7641, than apply into the LCM equation.

GCF(7640,7641) = 1
LCM(7640,7641) = ( 7640 × 7641) / 1
LCM(7640,7641) = 58377240 / 1
LCM(7640,7641) = 58377240

Properties of LCM 7640 and 7641

(i) The LCM of 7641 and 7640 is associative

LCM of 7640 and 7641 = LCM of 7641 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7641

Frequently Asked Questions on LCM of 7640 and 7641

1. What is the LCM of 7640 and 7641?

Answer: LCM of 7640 and 7641 is 58377240.

2. 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.

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 7640 and 7641?

Answer:

Least Common Multiple of 7640 and 7641 = 58377240

Step 1: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

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 = 58377240 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 191 x 283

Step 4: Therefore, the least common multiple of 7640 and 7641 is 58377240.