Least Common Multiple of 4817 and 4821

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 4821 the smallest integer that is 23222757 that is divisible by both numbers.

Least Common Multiple (LCM) of 4817 and 4821 is 23222757.

LCM(4817,4821) = 23222757

LCM of 4817 and 4821

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

LCM of:
and

Least Common Multiple of 4817 and 4821

LCM of 4817 and 4821 is 23222757

Least common multiple can be found by multiplying the highest exponent prime factors of 4817 and 4821. First we will calculate the prime factors of 4817 and 4821.

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 4821


3 4821
1607 1607
1

Prime factors of 4821 are 3,1607. Prime factorization of 4821 in exponential form is:

4821 = 31×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 4817 and 4821.

LCM(4817,4821) = 31×16071×48171
LCM(4817,4821) = 23222757

Factors of 4817

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

1, 4817

Factors of 4821

List of positive integer factors of 4821 that divides 4821 without a remainder.

1, 3, 1607, 4821

Least Common Multiple of 4817 and 4821 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 4821, than apply into the LCM equation.

GCF(4817,4821) = 1
LCM(4817,4821) = ( 4817 × 4821) / 1
LCM(4817,4821) = 23222757 / 1
LCM(4817,4821) = 23222757

Properties of LCM 4817 and 4821

(i) The LCM of 4821 and 4817 is associative

LCM of 4817 and 4821 = LCM of 4821 and 4817

Related Least Common Multiples of 4817

Related Least Common Multiples of 4821

Frequently Asked Questions on LCM of 4817 and 4821

1. What is the LCM of 4817 and 4821?

Answer: LCM of 4817 and 4821 is 23222757.

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 4821?

Answer: Factors of 4821 are 1, 3, 1607, 4821. There are 4 integers that are factors of 4821. The greatest factor of 4821 is 4821.

4. How to Find the LCM of 4817 and 4821?

Answer:

Least Common Multiple of 4817 and 4821 = 23222757

Step 1: Find the prime factorization of 4817

4817 = 4817

Step 2: Find the prime factorization of 4821

4821 = 3 x 1607

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

LCM = 23222757 = 3 x 1607 x 4817

Step 4: Therefore, the least common multiple of 4817 and 4821 is 23222757.