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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 4820 and 4816 is associative
LCM of 4816 and 4820 = LCM of 4820 and 4816
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.