Least Common Multiple of 4824 and 4831

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 4831 the smallest integer that is 23304744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4831 is 23304744.

LCM(4824,4831) = 23304744

LCM of 4824 and 4831

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

LCM of:
and

Least Common Multiple of 4824 and 4831

LCM of 4824 and 4831 is 23304744

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4831. First we will calculate the prime factors of 4824 and 4831.

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 4831


4831 4831
1

Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:

4831 = 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4831.

LCM(4824,4831) = 23×32×671×48311
LCM(4824,4831) = 23304744

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 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1, 4831

Least Common Multiple of 4824 and 4831 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 4831, than apply into the LCM equation.

GCF(4824,4831) = 1
LCM(4824,4831) = ( 4824 × 4831) / 1
LCM(4824,4831) = 23304744 / 1
LCM(4824,4831) = 23304744

Properties of LCM 4824 and 4831

(i) The LCM of 4831 and 4824 is associative

LCM of 4824 and 4831 = LCM of 4831 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4831

Frequently Asked Questions on LCM of 4824 and 4831

1. What is the LCM of 4824 and 4831?

Answer: LCM of 4824 and 4831 is 23304744.

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 4831?

Answer: Factors of 4831 are 1, 4831. There are 2 integers that are factors of 4831. The greatest factor of 4831 is 4831.

4. How to Find the LCM of 4824 and 4831?

Answer:

Least Common Multiple of 4824 and 4831 = 23304744

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 4831

4831 = 4831

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

LCM = 23304744 = 2 x 2 x 2 x 3 x 3 x 67 x 4831

Step 4: Therefore, the least common multiple of 4824 and 4831 is 23304744.