Least Common Multiple of 4828 and 4832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4828 and 4832 the smallest integer that is 5832224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4828 and 4832 is 5832224.

LCM(4828,4832) = 5832224

LCM of 4828 and 4832

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

LCM of:
and

Least Common Multiple of 4828 and 4832

LCM of 4828 and 4832 is 5832224

Least common multiple can be found by multiplying the highest exponent prime factors of 4828 and 4832. First we will calculate the prime factors of 4828 and 4832.

Prime Factorization of 4828


2 4828
2 2414
17 1207
71 71
1

Prime factors of 4828 are 2, 17,71. Prime factorization of 4828 in exponential form is:

4828 = 22×171×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4828 and 4832.

LCM(4828,4832) = 25×171×711×1511
LCM(4828,4832) = 5832224

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828

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

Least Common Multiple of 4828 and 4832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4828 and 4832, than apply into the LCM equation.

GCF(4828,4832) = 4
LCM(4828,4832) = ( 4828 × 4832) / 4
LCM(4828,4832) = 23328896 / 4
LCM(4828,4832) = 5832224

Properties of LCM 4828 and 4832

(i) The LCM of 4832 and 4828 is associative

LCM of 4828 and 4832 = LCM of 4832 and 4828

Related Least Common Multiples of 4828

Related Least Common Multiples of 4832

Frequently Asked Questions on LCM of 4828 and 4832

1. What is the LCM of 4828 and 4832?

Answer: LCM of 4828 and 4832 is 5832224.

2. What are the Factors of 4828?

Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.

3. 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.

4. How to Find the LCM of 4828 and 4832?

Answer:

Least Common Multiple of 4828 and 4832 = 5832224

Step 1: Find the prime factorization of 4828

4828 = 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 4832

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

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

LCM = 5832224 = 2 x 2 x 2 x 2 x 2 x 17 x 71 x 151

Step 4: Therefore, the least common multiple of 4828 and 4832 is 5832224.