Least Common Multiple of 2146 and 2153
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2146 and 2153 the smallest integer that is 4620338 that is divisible by both numbers.
Least Common Multiple (LCM) of 2146 and 2153 is 4620338.
LCM(2146,2153) = 4620338
LCM of 2146 and 2153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2146 and 2153 by Prime method
- Least Common Multiple of 2146 and 2153 with GCF Formula
LCM of 2146 and 2153 is 4620338
Least common multiple can be found by multiplying the highest exponent prime factors of 2146 and 2153. First we will calculate the prime factors of 2146 and 2153.
Prime Factorization of 2146
| 2 | 2146 |
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 2146 are 2, 29,37. Prime factorization of 2146 in exponential form is:
2146 = 21×291×371
Prime Factorization of 2153
| 2153 | 2153 |
| 1 |
Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:
2153 = 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 2146 and 2153.
LCM(2146,2153) = 21×291×371×21531
LCM(2146,2153) = 4620338
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1, 2, 29, 37, 58, 74, 1073, 2146
Factors of 2153
List of positive integer factors of 2153 that divides 2153 without a remainder.
1, 2153
Least Common Multiple of 2146 and 2153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2146 and 2153, than apply into the LCM equation.
GCF(2146,2153) = 1
LCM(2146,2153) = ( 2146 × 2153) / 1
LCM(2146,2153) = 4620338 / 1
LCM(2146,2153) = 4620338
Properties of LCM 2146 and 2153
(i) The LCM of 2153 and 2146 is associative
LCM of 2146 and 2153 = LCM of 2153 and 2146
Related Least Common Multiples of 2146
Related Least Common Multiples of 2153
Frequently Asked Questions on LCM of 2146 and 2153
1. What is the LCM of 2146 and 2153?
Answer: LCM of 2146 and 2153 is 4620338.
2. What are the Factors of 2146?
Answer: Factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146. There are 8 integers that are factors of 2146. The greatest factor of 2146 is 2146.
3. What are the Factors of 2153?
Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.
4. How to Find the LCM of 2146 and 2153?
Answer:
Least Common Multiple of 2146 and 2153 = 4620338
Step 1: Find the prime factorization of 2146
2146 = 2 x 29 x 37
Step 2: Find the prime factorization of 2153
2153 = 2153
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4620338 = 2 x 29 x 37 x 2153
Step 4: Therefore, the least common multiple of 2146 and 2153 is 4620338.