Least Common Multiple of 632 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 632 and 640 the smallest integer that is 50560 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 640 is 50560.

LCM(632,640) = 50560

LCM of 632 and 640

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

LCM of:
and

Least Common Multiple of 632 and 640

LCM of 632 and 640 is 50560

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 640. First we will calculate the prime factors of 632 and 640.

Prime Factorization of 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

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 632 and 640.

LCM(632,640) = 27×51×791
LCM(632,640) = 50560

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 632 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 632 and 640, than apply into the LCM equation.

GCF(632,640) = 8
LCM(632,640) = ( 632 × 640) / 8
LCM(632,640) = 404480 / 8
LCM(632,640) = 50560

Properties of LCM 632 and 640

(i) The LCM of 640 and 632 is associative

LCM of 632 and 640 = LCM of 640 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 640

Frequently Asked Questions on LCM of 632 and 640

1. What is the LCM of 632 and 640?

Answer: LCM of 632 and 640 is 50560.

2. What are the Factors of 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

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 632 and 640?

Answer:

Least Common Multiple of 632 and 640 = 50560

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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 = 50560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79

Step 4: Therefore, the least common multiple of 632 and 640 is 50560.