Least Common Multiple of 4819 and 4824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4819 and 4824 the smallest integer that is 23246856 that is divisible by both numbers.

Least Common Multiple (LCM) of 4819 and 4824 is 23246856.

LCM(4819,4824) = 23246856

LCM of 4819 and 4824

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

LCM of:
and

Least Common Multiple of 4819 and 4824

LCM of 4819 and 4824 is 23246856

Least common multiple can be found by multiplying the highest exponent prime factors of 4819 and 4824. First we will calculate the prime factors of 4819 and 4824.

Prime Factorization of 4819


61 4819
79 79
1

Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:

4819 = 611×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4819 and 4824.

LCM(4819,4824) = 23×32×611×671×791
LCM(4819,4824) = 23246856

Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1, 61, 79, 4819

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

Least Common Multiple of 4819 and 4824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4819 and 4824, than apply into the LCM equation.

GCF(4819,4824) = 1
LCM(4819,4824) = ( 4819 × 4824) / 1
LCM(4819,4824) = 23246856 / 1
LCM(4819,4824) = 23246856

Properties of LCM 4819 and 4824

(i) The LCM of 4824 and 4819 is associative

LCM of 4819 and 4824 = LCM of 4824 and 4819

Related Least Common Multiples of 4819

Related Least Common Multiples of 4824

Frequently Asked Questions on LCM of 4819 and 4824

1. What is the LCM of 4819 and 4824?

Answer: LCM of 4819 and 4824 is 23246856.

2. What are the Factors of 4819?

Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.

3. 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.

4. How to Find the LCM of 4819 and 4824?

Answer:

Least Common Multiple of 4819 and 4824 = 23246856

Step 1: Find the prime factorization of 4819

4819 = 61 x 79

Step 2: Find the prime factorization of 4824

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

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

LCM = 23246856 = 2 x 2 x 2 x 3 x 3 x 61 x 67 x 79

Step 4: Therefore, the least common multiple of 4819 and 4824 is 23246856.