Least Common Multiple of 4824 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 4824 and 4832 the smallest integer that is 2913696 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4832 is 2913696.

LCM(4824,4832) = 2913696

LCM of 4824 and 4832

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

LCM of:
and

Least Common Multiple of 4824 and 4832

LCM of 4824 and 4832 is 2913696

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4832. First we will calculate the prime factors of 4824 and 4832.

Prime Factorization of 4824


2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 4824 are 2, 3,67. Prime factorization of 4824 in exponential form is:

4824 = 23×32×671

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 4824 and 4832.

LCM(4824,4832) = 25×32×671×1511
LCM(4824,4832) = 2913696

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824

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 4824 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 4824 and 4832, than apply into the LCM equation.

GCF(4824,4832) = 8
LCM(4824,4832) = ( 4824 × 4832) / 8
LCM(4824,4832) = 23309568 / 8
LCM(4824,4832) = 2913696

Properties of LCM 4824 and 4832

(i) The LCM of 4832 and 4824 is associative

LCM of 4824 and 4832 = LCM of 4832 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4832

Frequently Asked Questions on LCM of 4824 and 4832

1. What is the LCM of 4824 and 4832?

Answer: LCM of 4824 and 4832 is 2913696.

2. What are the Factors of 4824?

Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.

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 4824 and 4832?

Answer:

Least Common Multiple of 4824 and 4832 = 2913696

Step 1: Find the prime factorization of 4824

4824 = 2 x 2 x 2 x 3 x 3 x 67

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 = 2913696 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 67 x 151

Step 4: Therefore, the least common multiple of 4824 and 4832 is 2913696.