Least Common Multiple of 638 and 640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 638 and 640 the smallest integer that is 204160 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 640 is 204160.

LCM(638,640) = 204160

LCM of 638 and 640

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

LCM of:
and

Least Common Multiple of 638 and 640

LCM of 638 and 640 is 204160

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 640. First we will calculate the prime factors of 638 and 640.

Prime Factorization of 638


2 638
11 319
29 29
1

Prime factors of 638 are 2, 11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 640.

LCM(638,640) = 27×51×111×291
LCM(638,640) = 204160

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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

Least Common Multiple of 638 and 640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 638 and 640, than apply into the LCM equation.

GCF(638,640) = 2
LCM(638,640) = ( 638 × 640) / 2
LCM(638,640) = 408320 / 2
LCM(638,640) = 204160

Properties of LCM 638 and 640

(i) The LCM of 640 and 638 is associative

LCM of 638 and 640 = LCM of 640 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 640

Frequently Asked Questions on LCM of 638 and 640

1. What is the LCM of 638 and 640?

Answer: LCM of 638 and 640 is 204160.

2. What are the Factors of 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

3. 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.

4. How to Find the LCM of 638 and 640?

Answer:

Least Common Multiple of 638 and 640 = 204160

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 640

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

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

LCM = 204160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 638 and 640 is 204160.