Least Common Multiple of 4832 and 4840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4832 and 4840 the smallest integer that is 2923360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4832 and 4840 is 2923360.

LCM(4832,4840) = 2923360

LCM of 4832 and 4840

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

LCM of:
and

Least Common Multiple of 4832 and 4840

LCM of 4832 and 4840 is 2923360

Least common multiple can be found by multiplying the highest exponent prime factors of 4832 and 4840. First we will calculate the prime factors of 4832 and 4840.

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

Prime Factorization of 4840


2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 4840 are 2, 5,11. Prime factorization of 4840 in exponential form is:

4840 = 23×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 4832 and 4840.

LCM(4832,4840) = 25×51×112×1511
LCM(4832,4840) = 2923360

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

Factors of 4840

List of positive integer factors of 4840 that divides 4840 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840

Least Common Multiple of 4832 and 4840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4832 and 4840, than apply into the LCM equation.

GCF(4832,4840) = 8
LCM(4832,4840) = ( 4832 × 4840) / 8
LCM(4832,4840) = 23386880 / 8
LCM(4832,4840) = 2923360

Properties of LCM 4832 and 4840

(i) The LCM of 4840 and 4832 is associative

LCM of 4832 and 4840 = LCM of 4840 and 4832

Related Least Common Multiples of 4832

Related Least Common Multiples of 4840

Frequently Asked Questions on LCM of 4832 and 4840

1. What is the LCM of 4832 and 4840?

Answer: LCM of 4832 and 4840 is 2923360.

2. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

3. What are the Factors of 4840?

Answer: Factors of 4840 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840. There are 24 integers that are factors of 4840. The greatest factor of 4840 is 4840.

4. How to Find the LCM of 4832 and 4840?

Answer:

Least Common Multiple of 4832 and 4840 = 2923360

Step 1: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 4840

4840 = 2 x 2 x 2 x 5 x 11 x 11

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

LCM = 2923360 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 11 x 151

Step 4: Therefore, the least common multiple of 4832 and 4840 is 2923360.