Least Common Multiple of 2163 and 2170
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2163 and 2170 the smallest integer that is 670530 that is divisible by both numbers.
Least Common Multiple (LCM) of 2163 and 2170 is 670530.
LCM(2163,2170) = 670530
LCM of 2163 and 2170
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2163 and 2170 by Prime method
- Least Common Multiple of 2163 and 2170 with GCF Formula
LCM of 2163 and 2170 is 670530
Least common multiple can be found by multiplying the highest exponent prime factors of 2163 and 2170. First we will calculate the prime factors of 2163 and 2170.
Prime Factorization of 2163
| 3 | 2163 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 2163 are 3, 7,103. Prime factorization of 2163 in exponential form is:
2163 = 31×71×1031
Prime Factorization of 2170
| 2 | 2170 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:
2170 = 21×51×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2163 and 2170.
LCM(2163,2170) = 21×31×51×71×311×1031
LCM(2163,2170) = 670530
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1, 3, 7, 21, 103, 309, 721, 2163
Factors of 2170
List of positive integer factors of 2170 that divides 2170 without a remainder.
1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170
Least Common Multiple of 2163 and 2170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2163 and 2170, than apply into the LCM equation.
GCF(2163,2170) = 7
LCM(2163,2170) = ( 2163 × 2170) / 7
LCM(2163,2170) = 4693710 / 7
LCM(2163,2170) = 670530
Properties of LCM 2163 and 2170
(i) The LCM of 2170 and 2163 is associative
LCM of 2163 and 2170 = LCM of 2170 and 2163
Related Least Common Multiples of 2163
Related Least Common Multiples of 2170
Frequently Asked Questions on LCM of 2163 and 2170
1. What is the LCM of 2163 and 2170?
Answer: LCM of 2163 and 2170 is 670530.
2. What are the Factors of 2163?
Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.
3. What are the Factors of 2170?
Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.
4. How to Find the LCM of 2163 and 2170?
Answer:
Least Common Multiple of 2163 and 2170 = 670530
Step 1: Find the prime factorization of 2163
2163 = 3 x 7 x 103
Step 2: Find the prime factorization of 2170
2170 = 2 x 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 670530 = 2 x 3 x 5 x 7 x 31 x 103
Step 4: Therefore, the least common multiple of 2163 and 2170 is 670530.