Least Common Multiple of 4817 and 4823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4817 and 4823 the smallest integer that is 23232391 that is divisible by both numbers.

Least Common Multiple (LCM) of 4817 and 4823 is 23232391.

LCM(4817,4823) = 23232391

LCM of 4817 and 4823

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

LCM of:
and

Least Common Multiple of 4817 and 4823

LCM of 4817 and 4823 is 23232391

Least common multiple can be found by multiplying the highest exponent prime factors of 4817 and 4823. First we will calculate the prime factors of 4817 and 4823.

Prime Factorization of 4817


4817 4817
1

Prime factors of 4817 are 4817. Prime factorization of 4817 in exponential form is:

4817 = 48171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4817 and 4823.

LCM(4817,4823) = 71×131×531×48171
LCM(4817,4823) = 23232391

Factors of 4817

List of positive integer factors of 4817 that divides 4817 without a remainder.

1, 4817

Factors of 4823

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

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

Least Common Multiple of 4817 and 4823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4817 and 4823, than apply into the LCM equation.

GCF(4817,4823) = 1
LCM(4817,4823) = ( 4817 × 4823) / 1
LCM(4817,4823) = 23232391 / 1
LCM(4817,4823) = 23232391

Properties of LCM 4817 and 4823

(i) The LCM of 4823 and 4817 is associative

LCM of 4817 and 4823 = LCM of 4823 and 4817

Related Least Common Multiples of 4817

Related Least Common Multiples of 4823

Frequently Asked Questions on LCM of 4817 and 4823

1. What is the LCM of 4817 and 4823?

Answer: LCM of 4817 and 4823 is 23232391.

2. What are the Factors of 4817?

Answer: Factors of 4817 are 1, 4817. There are 2 integers that are factors of 4817. The greatest factor of 4817 is 4817.

3. 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.

4. How to Find the LCM of 4817 and 4823?

Answer:

Least Common Multiple of 4817 and 4823 = 23232391

Step 1: Find the prime factorization of 4817

4817 = 4817

Step 2: Find the prime factorization of 4823

4823 = 7 x 13 x 53

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

LCM = 23232391 = 7 x 13 x 53 x 4817

Step 4: Therefore, the least common multiple of 4817 and 4823 is 23232391.