Least Common Multiple of 640 and 644

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 644 the smallest integer that is 103040 that is divisible by both numbers.

Least Common Multiple (LCM) of 640 and 644 is 103040.

LCM(640,644) = 103040

LCM of 640 and 644

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

LCM of:
and

Least Common Multiple of 640 and 644

LCM of 640 and 644 is 103040

Least common multiple can be found by multiplying the highest exponent prime factors of 640 and 644. First we will calculate the prime factors of 640 and 644.

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 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 640 and 644.

LCM(640,644) = 27×51×71×231
LCM(640,644) = 103040

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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Least Common Multiple of 640 and 644 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 644, than apply into the LCM equation.

GCF(640,644) = 4
LCM(640,644) = ( 640 × 644) / 4
LCM(640,644) = 412160 / 4
LCM(640,644) = 103040

Properties of LCM 640 and 644

(i) The LCM of 644 and 640 is associative

LCM of 640 and 644 = LCM of 644 and 640

Related Least Common Multiples of 640

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 640 and 644

1. What is the LCM of 640 and 644?

Answer: LCM of 640 and 644 is 103040.

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 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the LCM of 640 and 644?

Answer:

Least Common Multiple of 640 and 644 = 103040

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 644

644 = 2 x 2 x 7 x 23

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

LCM = 103040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 640 and 644 is 103040.