Least Common Multiple of 4816 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 4816 and 4820 the smallest integer that is 5803280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4816 and 4820 is 5803280.

LCM(4816,4820) = 5803280

LCM of 4816 and 4820

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

LCM of:
and

Least Common Multiple of 4816 and 4820

LCM of 4816 and 4820 is 5803280

Least common multiple can be found by multiplying the highest exponent prime factors of 4816 and 4820. First we will calculate the prime factors of 4816 and 4820.

Prime Factorization of 4816


2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 4816 are 2, 7,43. Prime factorization of 4816 in exponential form is:

4816 = 24×71×431

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 4816 and 4820.

LCM(4816,4820) = 24×51×71×431×2411
LCM(4816,4820) = 5803280

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816

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 4816 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 4816 and 4820, than apply into the LCM equation.

GCF(4816,4820) = 4
LCM(4816,4820) = ( 4816 × 4820) / 4
LCM(4816,4820) = 23213120 / 4
LCM(4816,4820) = 5803280

Properties of LCM 4816 and 4820

(i) The LCM of 4820 and 4816 is associative

LCM of 4816 and 4820 = LCM of 4820 and 4816

Frequently Asked Questions on LCM of 4816 and 4820

1. What is the LCM of 4816 and 4820?

Answer: LCM of 4816 and 4820 is 5803280.

2. What are the Factors of 4816?

Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.

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 4816 and 4820?

Answer:

Least Common Multiple of 4816 and 4820 = 5803280

Step 1: Find the prime factorization of 4816

4816 = 2 x 2 x 2 x 2 x 7 x 43

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 = 5803280 = 2 x 2 x 2 x 2 x 5 x 7 x 43 x 241

Step 4: Therefore, the least common multiple of 4816 and 4820 is 5803280.