Least Common Multiple of 4823 and 4830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4823 and 4830 the smallest integer that is 3327870 that is divisible by both numbers.

Least Common Multiple (LCM) of 4823 and 4830 is 3327870.

LCM(4823,4830) = 3327870

LCM of 4823 and 4830

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

LCM of:
and

Least Common Multiple of 4823 and 4830

LCM of 4823 and 4830 is 3327870

Least common multiple can be found by multiplying the highest exponent prime factors of 4823 and 4830. First we will calculate the prime factors of 4823 and 4830.

Prime Factorization of 4823


7 4823
13 689
53 53
1

Prime factors of 4823 are 7, 13,53. Prime factorization of 4823 in exponential form is:

4823 = 71×131×531

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2, 3, 5, 7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4823 and 4830.

LCM(4823,4830) = 21×31×51×71×131×231×531
LCM(4823,4830) = 3327870

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1, 7, 13, 53, 91, 371, 689, 4823

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830

Least Common Multiple of 4823 and 4830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4823 and 4830, than apply into the LCM equation.

GCF(4823,4830) = 7
LCM(4823,4830) = ( 4823 × 4830) / 7
LCM(4823,4830) = 23295090 / 7
LCM(4823,4830) = 3327870

Properties of LCM 4823 and 4830

(i) The LCM of 4830 and 4823 is associative

LCM of 4823 and 4830 = LCM of 4830 and 4823

Related Least Common Multiples of 4823

Related Least Common Multiples of 4830

Frequently Asked Questions on LCM of 4823 and 4830

1. What is the LCM of 4823 and 4830?

Answer: LCM of 4823 and 4830 is 3327870.

2. What are the Factors of 4823?

Answer: Factors of 4823 are 1, 7, 13, 53, 91, 371, 689, 4823. There are 8 integers that are factors of 4823. The greatest factor of 4823 is 4823.

3. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

4. How to Find the LCM of 4823 and 4830?

Answer:

Least Common Multiple of 4823 and 4830 = 3327870

Step 1: Find the prime factorization of 4823

4823 = 7 x 13 x 53

Step 2: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

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

LCM = 3327870 = 2 x 3 x 5 x 7 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 4823 and 4830 is 3327870.