Least Common Multiple of 4639 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 4639 and 4640 the smallest integer that is 21524960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4639 and 4640 is 21524960.

LCM(4639,4640) = 21524960

LCM of 4639 and 4640

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

LCM of:
and

Least Common Multiple of 4639 and 4640

LCM of 4639 and 4640 is 21524960

Least common multiple can be found by multiplying the highest exponent prime factors of 4639 and 4640. First we will calculate the prime factors of 4639 and 4640.

Prime Factorization of 4639


4639 4639
1

Prime factors of 4639 are 4639. Prime factorization of 4639 in exponential form is:

4639 = 46391

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 4639 and 4640.

LCM(4639,4640) = 25×51×291×46391
LCM(4639,4640) = 21524960

Factors of 4639

List of positive integer factors of 4639 that divides 4639 without a remainder.

1, 4639

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 4639 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 4639 and 4640, than apply into the LCM equation.

GCF(4639,4640) = 1
LCM(4639,4640) = ( 4639 × 4640) / 1
LCM(4639,4640) = 21524960 / 1
LCM(4639,4640) = 21524960

Properties of LCM 4639 and 4640

(i) The LCM of 4640 and 4639 is associative

LCM of 4639 and 4640 = LCM of 4640 and 4639

Related Least Common Multiples of 4639

Related Least Common Multiples of 4640

Frequently Asked Questions on LCM of 4639 and 4640

1. What is the LCM of 4639 and 4640?

Answer: LCM of 4639 and 4640 is 21524960.

2. What are the Factors of 4639?

Answer: Factors of 4639 are 1, 4639. There are 2 integers that are factors of 4639. The greatest factor of 4639 is 4639.

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 4639 and 4640?

Answer:

Least Common Multiple of 4639 and 4640 = 21524960

Step 1: Find the prime factorization of 4639

4639 = 4639

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 = 21524960 = 2 x 2 x 2 x 2 x 2 x 5 x 29 x 4639

Step 4: Therefore, the least common multiple of 4639 and 4640 is 21524960.