Least Common Multiple of 4883 and 4890
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4883 and 4890 the smallest integer that is 23877870 that is divisible by both numbers.
Least Common Multiple (LCM) of 4883 and 4890 is 23877870.
LCM(4883,4890) = 23877870
LCM of 4883 and 4890
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4883 and 4890 by Prime method
- Least Common Multiple of 4883 and 4890 with GCF Formula
LCM of 4883 and 4890 is 23877870
Least common multiple can be found by multiplying the highest exponent prime factors of 4883 and 4890. First we will calculate the prime factors of 4883 and 4890.
Prime Factorization of 4883
| 19 | 4883 |
| 257 | 257 |
| 1 |
Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:
4883 = 191×2571
Prime Factorization of 4890
| 2 | 4890 |
| 3 | 2445 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 4890 are 2, 3, 5,163. Prime factorization of 4890 in exponential form is:
4890 = 21×31×51×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4883 and 4890.
LCM(4883,4890) = 21×31×51×191×1631×2571
LCM(4883,4890) = 23877870
Factors of 4883
List of positive integer factors of 4883 that divides 4883 without a remainder.
1, 19, 257, 4883
Factors of 4890
List of positive integer factors of 4890 that divides 4890 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
Least Common Multiple of 4883 and 4890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4883 and 4890, than apply into the LCM equation.
GCF(4883,4890) = 1
LCM(4883,4890) = ( 4883 × 4890) / 1
LCM(4883,4890) = 23877870 / 1
LCM(4883,4890) = 23877870
Properties of LCM 4883 and 4890
(i) The LCM of 4890 and 4883 is associative
LCM of 4883 and 4890 = LCM of 4890 and 4883
Related Least Common Multiples of 4883
Related Least Common Multiples of 4890
Frequently Asked Questions on LCM of 4883 and 4890
1. What is the LCM of 4883 and 4890?
Answer: LCM of 4883 and 4890 is 23877870.
2. What are the Factors of 4883?
Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.
3. What are the Factors of 4890?
Answer: Factors of 4890 are 1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890. There are 16 integers that are factors of 4890. The greatest factor of 4890 is 4890.
4. How to Find the LCM of 4883 and 4890?
Answer:
Least Common Multiple of 4883 and 4890 = 23877870
Step 1: Find the prime factorization of 4883
4883 = 19 x 257
Step 2: Find the prime factorization of 4890
4890 = 2 x 3 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23877870 = 2 x 3 x 5 x 19 x 163 x 257
Step 4: Therefore, the least common multiple of 4883 and 4890 is 23877870.