Least Common Multiple of 4632 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 4632 and 4640 the smallest integer that is 2686560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4632 and 4640 is 2686560.

LCM(4632,4640) = 2686560

LCM of 4632 and 4640

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

LCM of:
and

Least Common Multiple of 4632 and 4640

LCM of 4632 and 4640 is 2686560

Least common multiple can be found by multiplying the highest exponent prime factors of 4632 and 4640. First we will calculate the prime factors of 4632 and 4640.

Prime Factorization of 4632


2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 4632 are 2, 3,193. Prime factorization of 4632 in exponential form is:

4632 = 23×31×1931

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 4632 and 4640.

LCM(4632,4640) = 25×31×51×291×1931
LCM(4632,4640) = 2686560

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632

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 4632 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 4632 and 4640, than apply into the LCM equation.

GCF(4632,4640) = 8
LCM(4632,4640) = ( 4632 × 4640) / 8
LCM(4632,4640) = 21492480 / 8
LCM(4632,4640) = 2686560

Properties of LCM 4632 and 4640

(i) The LCM of 4640 and 4632 is associative

LCM of 4632 and 4640 = LCM of 4640 and 4632

Related Least Common Multiples of 4632

Related Least Common Multiples of 4640

Frequently Asked Questions on LCM of 4632 and 4640

1. What is the LCM of 4632 and 4640?

Answer: LCM of 4632 and 4640 is 2686560.

2. What are the Factors of 4632?

Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.

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 4632 and 4640?

Answer:

Least Common Multiple of 4632 and 4640 = 2686560

Step 1: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

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 = 2686560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 193

Step 4: Therefore, the least common multiple of 4632 and 4640 is 2686560.