Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2423 and 2427 the smallest integer that is 5880621 that is divisible by both numbers.
Least Common Multiple (LCM) of 2423 and 2427 is 5880621.
LCM(2423,2427) = 5880621
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 2423 and 2427. First we will calculate the prime factors of 2423 and 2427.
Prime Factorization of 2423
2423 | 2423 |
1 |
Prime factors of 2423 are 2423. Prime factorization of 2423 in exponential form is:
2423 = 24231
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 2423 and 2427.
LCM(2423,2427) = 31×8091×24231
LCM(2423,2427) = 5880621
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1, 2423
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 2423 and 2427, than apply into the LCM equation.
GCF(2423,2427) = 1
LCM(2423,2427) = ( 2423 × 2427) / 1
LCM(2423,2427) = 5880621 / 1
LCM(2423,2427) = 5880621
(i) The LCM of 2427 and 2423 is associative
LCM of 2423 and 2427 = LCM of 2427 and 2423
1. What is the LCM of 2423 and 2427?
Answer: LCM of 2423 and 2427 is 5880621.
2. What are the Factors of 2423?
Answer: Factors of 2423 are 1, 2423. There are 2 integers that are factors of 2423. The greatest factor of 2423 is 2423.
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 2423 and 2427?
Answer:
Least Common Multiple of 2423 and 2427 = 5880621
Step 1: Find the prime factorization of 2423
2423 = 2423
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 = 5880621 = 3 x 809 x 2423
Step 4: Therefore, the least common multiple of 2423 and 2427 is 5880621.