Least Common Multiple of 4821 and 4825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4821 and 4825 the smallest integer that is 23261325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4821 and 4825 is 23261325.

LCM(4821,4825) = 23261325

LCM of 4821 and 4825

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

LCM of:
and

Least Common Multiple of 4821 and 4825

LCM of 4821 and 4825 is 23261325

Least common multiple can be found by multiplying the highest exponent prime factors of 4821 and 4825. First we will calculate the prime factors of 4821 and 4825.

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

Prime Factorization of 4825


5 4825
5 965
193 193
1

Prime factors of 4825 are 5,193. Prime factorization of 4825 in exponential form is:

4825 = 52×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4821 and 4825.

LCM(4821,4825) = 31×52×1931×16071
LCM(4821,4825) = 23261325

Factors of 4821

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

1, 3, 1607, 4821

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1, 5, 25, 193, 965, 4825

Least Common Multiple of 4821 and 4825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4821 and 4825, than apply into the LCM equation.

GCF(4821,4825) = 1
LCM(4821,4825) = ( 4821 × 4825) / 1
LCM(4821,4825) = 23261325 / 1
LCM(4821,4825) = 23261325

Properties of LCM 4821 and 4825

(i) The LCM of 4825 and 4821 is associative

LCM of 4821 and 4825 = LCM of 4825 and 4821

Related Least Common Multiples of 4821

Related Least Common Multiples of 4825

Frequently Asked Questions on LCM of 4821 and 4825

1. What is the LCM of 4821 and 4825?

Answer: LCM of 4821 and 4825 is 23261325.

2. 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.

3. What are the Factors of 4825?

Answer: Factors of 4825 are 1, 5, 25, 193, 965, 4825. There are 6 integers that are factors of 4825. The greatest factor of 4825 is 4825.

4. How to Find the LCM of 4821 and 4825?

Answer:

Least Common Multiple of 4821 and 4825 = 23261325

Step 1: Find the prime factorization of 4821

4821 = 3 x 1607

Step 2: Find the prime factorization of 4825

4825 = 5 x 5 x 193

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

LCM = 23261325 = 3 x 5 x 5 x 193 x 1607

Step 4: Therefore, the least common multiple of 4821 and 4825 is 23261325.