Least Common Multiple of 4830 and 4835
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 4835 the smallest integer that is 4670610 that is divisible by both numbers.
Least Common Multiple (LCM) of 4830 and 4835 is 4670610.
LCM(4830,4835) = 4670610
LCM of 4830 and 4835
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4830 and 4835 by Prime method
- Least Common Multiple of 4830 and 4835 with GCF Formula
LCM of 4830 and 4835 is 4670610
Least common multiple can be found by multiplying the highest exponent prime factors of 4830 and 4835. First we will calculate the prime factors of 4830 and 4835.
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 4835
| 5 | 4835 |
| 967 | 967 |
| 1 |
Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:
4835 = 51×9671
Now multiplying the highest exponent prime factors to calculate the LCM of 4830 and 4835.
LCM(4830,4835) = 21×31×51×71×231×9671
LCM(4830,4835) = 4670610
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 4835
List of positive integer factors of 4835 that divides 4835 without a remainder.
1, 5, 967, 4835
Least Common Multiple of 4830 and 4835 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 4835, than apply into the LCM equation.
GCF(4830,4835) = 5
LCM(4830,4835) = ( 4830 × 4835) / 5
LCM(4830,4835) = 23353050 / 5
LCM(4830,4835) = 4670610
Properties of LCM 4830 and 4835
(i) The LCM of 4835 and 4830 is associative
LCM of 4830 and 4835 = LCM of 4835 and 4830
Related Least Common Multiples of 4830
Related Least Common Multiples of 4835
Frequently Asked Questions on LCM of 4830 and 4835
1. What is the LCM of 4830 and 4835?
Answer: LCM of 4830 and 4835 is 4670610.
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 4835?
Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.
4. How to Find the LCM of 4830 and 4835?
Answer:
Least Common Multiple of 4830 and 4835 = 4670610
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 4835
4835 = 5 x 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4670610 = 2 x 3 x 5 x 7 x 23 x 967
Step 4: Therefore, the least common multiple of 4830 and 4835 is 4670610.