Least Common Multiple of 640 and 643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 640 and 643 the smallest integer that is 411520 that is divisible by both numbers.

Least Common Multiple (LCM) of 640 and 643 is 411520.

LCM(640,643) = 411520

LCM of 640 and 643

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

LCM of:
and

Least Common Multiple of 640 and 643

LCM of 640 and 643 is 411520

Least common multiple can be found by multiplying the highest exponent prime factors of 640 and 643. First we will calculate the prime factors of 640 and 643.

Prime Factorization of 640


2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 640 are 2,5. Prime factorization of 640 in exponential form is:

640 = 27×51

Prime Factorization of 643


643 643
1

Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:

643 = 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 640 and 643.

LCM(640,643) = 27×51×6431
LCM(640,643) = 411520

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1, 643

Least Common Multiple of 640 and 643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 640 and 643, than apply into the LCM equation.

GCF(640,643) = 1
LCM(640,643) = ( 640 × 643) / 1
LCM(640,643) = 411520 / 1
LCM(640,643) = 411520

Properties of LCM 640 and 643

(i) The LCM of 643 and 640 is associative

LCM of 640 and 643 = LCM of 643 and 640

Related Least Common Multiples of 640

Related Least Common Multiples of 643

Frequently Asked Questions on LCM of 640 and 643

1. What is the LCM of 640 and 643?

Answer: LCM of 640 and 643 is 411520.

2. What are the Factors of 640?

Answer: Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. There are 16 integers that are factors of 640. The greatest factor of 640 is 640.

3. What are the Factors of 643?

Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.

4. How to Find the LCM of 640 and 643?

Answer:

Least Common Multiple of 640 and 643 = 411520

Step 1: Find the prime factorization of 640

640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 643

643 = 643

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

LCM = 411520 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 643

Step 4: Therefore, the least common multiple of 640 and 643 is 411520.