Least Common Multiple of 4820 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 4820 and 4825 the smallest integer that is 4651300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4820 and 4825 is 4651300.

LCM(4820,4825) = 4651300

LCM of 4820 and 4825

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

LCM of:
and

Least Common Multiple of 4820 and 4825

LCM of 4820 and 4825 is 4651300

Least common multiple can be found by multiplying the highest exponent prime factors of 4820 and 4825. First we will calculate the prime factors of 4820 and 4825.

Prime Factorization of 4820


2 4820
2 2410
5 1205
241 241
1

Prime factors of 4820 are 2, 5,241. Prime factorization of 4820 in exponential form is:

4820 = 22×51×2411

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 4820 and 4825.

LCM(4820,4825) = 22×52×1931×2411
LCM(4820,4825) = 4651300

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820

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 4820 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 4820 and 4825, than apply into the LCM equation.

GCF(4820,4825) = 5
LCM(4820,4825) = ( 4820 × 4825) / 5
LCM(4820,4825) = 23256500 / 5
LCM(4820,4825) = 4651300

Properties of LCM 4820 and 4825

(i) The LCM of 4825 and 4820 is associative

LCM of 4820 and 4825 = LCM of 4825 and 4820

Related Least Common Multiples of 4820

Related Least Common Multiples of 4825

Frequently Asked Questions on LCM of 4820 and 4825

1. What is the LCM of 4820 and 4825?

Answer: LCM of 4820 and 4825 is 4651300.

2. What are the Factors of 4820?

Answer: Factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820. There are 12 integers that are factors of 4820. The greatest factor of 4820 is 4820.

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 4820 and 4825?

Answer:

Least Common Multiple of 4820 and 4825 = 4651300

Step 1: Find the prime factorization of 4820

4820 = 2 x 2 x 5 x 241

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 = 4651300 = 2 x 2 x 5 x 5 x 193 x 241

Step 4: Therefore, the least common multiple of 4820 and 4825 is 4651300.