Least Common Multiple of 4634 and 4640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4634 and 4640 the smallest integer that is 10750880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4634 and 4640 is 10750880.

LCM(4634,4640) = 10750880

LCM of 4634 and 4640

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

LCM of:
and

Least Common Multiple of 4634 and 4640

LCM of 4634 and 4640 is 10750880

Least common multiple can be found by multiplying the highest exponent prime factors of 4634 and 4640. First we will calculate the prime factors of 4634 and 4640.

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2, 7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

Prime Factorization of 4640


2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 4640 are 2, 5,29. Prime factorization of 4640 in exponential form is:

4640 = 25×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4634 and 4640.

LCM(4634,4640) = 25×51×71×291×3311
LCM(4634,4640) = 10750880

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1, 2, 7, 14, 331, 662, 2317, 4634

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640

Least Common Multiple of 4634 and 4640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4634 and 4640, than apply into the LCM equation.

GCF(4634,4640) = 2
LCM(4634,4640) = ( 4634 × 4640) / 2
LCM(4634,4640) = 21501760 / 2
LCM(4634,4640) = 10750880

Properties of LCM 4634 and 4640

(i) The LCM of 4640 and 4634 is associative

LCM of 4634 and 4640 = LCM of 4640 and 4634

Related Least Common Multiples of 4634

Related Least Common Multiples of 4640

Frequently Asked Questions on LCM of 4634 and 4640

1. What is the LCM of 4634 and 4640?

Answer: LCM of 4634 and 4640 is 10750880.

2. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

3. What are the Factors of 4640?

Answer: Factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640. There are 24 integers that are factors of 4640. The greatest factor of 4640 is 4640.

4. How to Find the LCM of 4634 and 4640?

Answer:

Least Common Multiple of 4634 and 4640 = 10750880

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

Step 2: Find the prime factorization of 4640

4640 = 2 x 2 x 2 x 2 x 2 x 5 x 29

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

LCM = 10750880 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 29 x 331

Step 4: Therefore, the least common multiple of 4634 and 4640 is 10750880.