Least Common Multiple of 2418 and 2422
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2418 and 2422 the smallest integer that is 2928198 that is divisible by both numbers.
Least Common Multiple (LCM) of 2418 and 2422 is 2928198.
LCM(2418,2422) = 2928198
LCM of 2418 and 2422
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2418 and 2422 by Prime method
- Least Common Multiple of 2418 and 2422 with GCF Formula
LCM of 2418 and 2422 is 2928198
Least common multiple can be found by multiplying the highest exponent prime factors of 2418 and 2422. First we will calculate the prime factors of 2418 and 2422.
Prime Factorization of 2418
| 2 | 2418 |
| 3 | 1209 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 2418 are 2, 3, 13,31. Prime factorization of 2418 in exponential form is:
2418 = 21×31×131×311
Prime Factorization of 2422
| 2 | 2422 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 2422 are 2, 7,173. Prime factorization of 2422 in exponential form is:
2422 = 21×71×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 2418 and 2422.
LCM(2418,2422) = 21×31×71×131×311×1731
LCM(2418,2422) = 2928198
Factors of 2418
List of positive integer factors of 2418 that divides 2418 without a remainder.
1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418
Factors of 2422
List of positive integer factors of 2422 that divides 2422 without a remainder.
1, 2, 7, 14, 173, 346, 1211, 2422
Least Common Multiple of 2418 and 2422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2418 and 2422, than apply into the LCM equation.
GCF(2418,2422) = 2
LCM(2418,2422) = ( 2418 × 2422) / 2
LCM(2418,2422) = 5856396 / 2
LCM(2418,2422) = 2928198
Properties of LCM 2418 and 2422
(i) The LCM of 2422 and 2418 is associative
LCM of 2418 and 2422 = LCM of 2422 and 2418
Related Least Common Multiples of 2418
Related Least Common Multiples of 2422
Frequently Asked Questions on LCM of 2418 and 2422
1. What is the LCM of 2418 and 2422?
Answer: LCM of 2418 and 2422 is 2928198.
2. What are the Factors of 2418?
Answer: Factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418. There are 16 integers that are factors of 2418. The greatest factor of 2418 is 2418.
3. What are the Factors of 2422?
Answer: Factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422. There are 8 integers that are factors of 2422. The greatest factor of 2422 is 2422.
4. How to Find the LCM of 2418 and 2422?
Answer:
Least Common Multiple of 2418 and 2422 = 2928198
Step 1: Find the prime factorization of 2418
2418 = 2 x 3 x 13 x 31
Step 2: Find the prime factorization of 2422
2422 = 2 x 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2928198 = 2 x 3 x 7 x 13 x 31 x 173
Step 4: Therefore, the least common multiple of 2418 and 2422 is 2928198.