Least Common Multiple of 4815 and 4820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4815 and 4820 the smallest integer that is 4641660 that is divisible by both numbers.

Least Common Multiple (LCM) of 4815 and 4820 is 4641660.

LCM(4815,4820) = 4641660

LCM of 4815 and 4820

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

LCM of:
and

Least Common Multiple of 4815 and 4820

LCM of 4815 and 4820 is 4641660

Least common multiple can be found by multiplying the highest exponent prime factors of 4815 and 4820. First we will calculate the prime factors of 4815 and 4820.

Prime Factorization of 4815


3 4815
3 1605
5 535
107 107
1

Prime factors of 4815 are 3, 5,107. Prime factorization of 4815 in exponential form is:

4815 = 32×51×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4815 and 4820.

LCM(4815,4820) = 22×32×51×1071×2411
LCM(4815,4820) = 4641660

Factors of 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815

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

Least Common Multiple of 4815 and 4820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4815 and 4820, than apply into the LCM equation.

GCF(4815,4820) = 5
LCM(4815,4820) = ( 4815 × 4820) / 5
LCM(4815,4820) = 23208300 / 5
LCM(4815,4820) = 4641660

Properties of LCM 4815 and 4820

(i) The LCM of 4820 and 4815 is associative

LCM of 4815 and 4820 = LCM of 4820 and 4815

Related Least Common Multiples of 4815

Related Least Common Multiples of 4820

Frequently Asked Questions on LCM of 4815 and 4820

1. What is the LCM of 4815 and 4820?

Answer: LCM of 4815 and 4820 is 4641660.

2. What are the Factors of 4815?

Answer: Factors of 4815 are 1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605, 4815. There are 12 integers that are factors of 4815. The greatest factor of 4815 is 4815.

3. 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.

4. How to Find the LCM of 4815 and 4820?

Answer:

Least Common Multiple of 4815 and 4820 = 4641660

Step 1: Find the prime factorization of 4815

4815 = 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 4820

4820 = 2 x 2 x 5 x 241

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

LCM = 4641660 = 2 x 2 x 3 x 3 x 5 x 107 x 241

Step 4: Therefore, the least common multiple of 4815 and 4820 is 4641660.