Least Common Multiple of 7640 and 7643

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 7643 the smallest integer that is 58392520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7643 is 58392520.

LCM(7640,7643) = 58392520

LCM of 7640 and 7643

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

LCM of:
and

Least Common Multiple of 7640 and 7643

LCM of 7640 and 7643 is 58392520

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7643. First we will calculate the prime factors of 7640 and 7643.

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 7643


7643 7643
1

Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:

7643 = 76431

Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7643.

LCM(7640,7643) = 23×51×1911×76431
LCM(7640,7643) = 58392520

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 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

1, 7643

Least Common Multiple of 7640 and 7643 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 7643, than apply into the LCM equation.

GCF(7640,7643) = 1
LCM(7640,7643) = ( 7640 × 7643) / 1
LCM(7640,7643) = 58392520 / 1
LCM(7640,7643) = 58392520

Properties of LCM 7640 and 7643

(i) The LCM of 7643 and 7640 is associative

LCM of 7640 and 7643 = LCM of 7643 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7643

Frequently Asked Questions on LCM of 7640 and 7643

1. What is the LCM of 7640 and 7643?

Answer: LCM of 7640 and 7643 is 58392520.

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 7643?

Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.

4. How to Find the LCM of 7640 and 7643?

Answer:

Least Common Multiple of 7640 and 7643 = 58392520

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 7643

7643 = 7643

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

LCM = 58392520 = 2 x 2 x 2 x 5 x 191 x 7643

Step 4: Therefore, the least common multiple of 7640 and 7643 is 58392520.