Least Common Multiple of 4830 and 4837
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4830 and 4837 the smallest integer that is 3337530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4830 and 4837 is 3337530.
LCM(4830,4837) = 3337530
LCM of 4830 and 4837
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4830 and 4837 by Prime method
- Least Common Multiple of 4830 and 4837 with GCF Formula
LCM of 4830 and 4837 is 3337530
Least common multiple can be found by multiplying the highest exponent prime factors of 4830 and 4837. First we will calculate the prime factors of 4830 and 4837.
Prime Factorization of 4830
| 2 | 4830 |
| 3 | 2415 |
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 4830 are 2, 3, 5, 7,23. Prime factorization of 4830 in exponential form is:
4830 = 21×31×51×71×231
Prime Factorization of 4837
| 7 | 4837 |
| 691 | 691 |
| 1 |
Prime factors of 4837 are 7,691. Prime factorization of 4837 in exponential form is:
4837 = 71×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 4830 and 4837.
LCM(4830,4837) = 21×31×51×71×231×6911
LCM(4830,4837) = 3337530
Factors of 4830
List of positive integer factors of 4830 that divides 4830 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
Factors of 4837
List of positive integer factors of 4837 that divides 4837 without a remainder.
1, 7, 691, 4837
Least Common Multiple of 4830 and 4837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4830 and 4837, than apply into the LCM equation.
GCF(4830,4837) = 7
LCM(4830,4837) = ( 4830 × 4837) / 7
LCM(4830,4837) = 23362710 / 7
LCM(4830,4837) = 3337530
Properties of LCM 4830 and 4837
(i) The LCM of 4837 and 4830 is associative
LCM of 4830 and 4837 = LCM of 4837 and 4830
Related Least Common Multiples of 4830
Related Least Common Multiples of 4837
Frequently Asked Questions on LCM of 4830 and 4837
1. What is the LCM of 4830 and 4837?
Answer: LCM of 4830 and 4837 is 3337530.
2. What are the Factors of 4830?
Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.
3. What are the Factors of 4837?
Answer: Factors of 4837 are 1, 7, 691, 4837. There are 4 integers that are factors of 4837. The greatest factor of 4837 is 4837.
4. How to Find the LCM of 4830 and 4837?
Answer:
Least Common Multiple of 4830 and 4837 = 3337530
Step 1: Find the prime factorization of 4830
4830 = 2 x 3 x 5 x 7 x 23
Step 2: Find the prime factorization of 4837
4837 = 7 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3337530 = 2 x 3 x 5 x 7 x 23 x 691
Step 4: Therefore, the least common multiple of 4830 and 4837 is 3337530.