Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2422 and 2427 the smallest integer that is 5878194 that is divisible by both numbers.
Least Common Multiple (LCM) of 2422 and 2427 is 5878194.
LCM(2422,2427) = 5878194
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2422 and 2427. First we will calculate the prime factors of 2422 and 2427.
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
Prime Factorization of 2427
3 | 2427 |
809 | 809 |
1 |
Prime factors of 2427 are 3,809. Prime factorization of 2427 in exponential form is:
2427 = 31×8091
Now multiplying the highest exponent prime factors to calculate the LCM of 2422 and 2427.
LCM(2422,2427) = 21×31×71×1731×8091
LCM(2422,2427) = 5878194
Factors of 2422
List of positive integer factors of 2422 that divides 2422 without a remainder.
1, 2, 7, 14, 173, 346, 1211, 2422
Factors of 2427
List of positive integer factors of 2427 that divides 2427 without a remainder.
1, 3, 809, 2427
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2422 and 2427, than apply into the LCM equation.
GCF(2422,2427) = 1
LCM(2422,2427) = ( 2422 × 2427) / 1
LCM(2422,2427) = 5878194 / 1
LCM(2422,2427) = 5878194
(i) The LCM of 2427 and 2422 is associative
LCM of 2422 and 2427 = LCM of 2427 and 2422
1. What is the LCM of 2422 and 2427?
Answer: LCM of 2422 and 2427 is 5878194.
2. 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.
3. What are the Factors of 2427?
Answer: Factors of 2427 are 1, 3, 809, 2427. There are 4 integers that are factors of 2427. The greatest factor of 2427 is 2427.
4. How to Find the LCM of 2422 and 2427?
Answer:
Least Common Multiple of 2422 and 2427 = 5878194
Step 1: Find the prime factorization of 2422
2422 = 2 x 7 x 173
Step 2: Find the prime factorization of 2427
2427 = 3 x 809
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5878194 = 2 x 3 x 7 x 173 x 809
Step 4: Therefore, the least common multiple of 2422 and 2427 is 5878194.