Least Common Multiple of 634 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 634 and 640 the smallest integer that is 202880 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 640 is 202880.

LCM(634,640) = 202880

LCM of 634 and 640

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

LCM of:
and

Least Common Multiple of 634 and 640

LCM of 634 and 640 is 202880

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 640. First we will calculate the prime factors of 634 and 640.

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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 634 and 640.

LCM(634,640) = 27×51×3171
LCM(634,640) = 202880

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 634 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 634 and 640, than apply into the LCM equation.

GCF(634,640) = 2
LCM(634,640) = ( 634 × 640) / 2
LCM(634,640) = 405760 / 2
LCM(634,640) = 202880

Properties of LCM 634 and 640

(i) The LCM of 640 and 634 is associative

LCM of 634 and 640 = LCM of 640 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 640

Frequently Asked Questions on LCM of 634 and 640

1. What is the LCM of 634 and 640?

Answer: LCM of 634 and 640 is 202880.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

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 634 and 640?

Answer:

Least Common Multiple of 634 and 640 = 202880

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 = 202880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 317

Step 4: Therefore, the least common multiple of 634 and 640 is 202880.