Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2407 and 2411 the smallest integer that is 5803277 that is divisible by both numbers.
Least Common Multiple (LCM) of 2407 and 2411 is 5803277.
LCM(2407,2411) = 5803277
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 2407 and 2411. First we will calculate the prime factors of 2407 and 2411.
Prime Factorization of 2407
29 | 2407 |
83 | 83 |
1 |
Prime factors of 2407 are 29,83. Prime factorization of 2407 in exponential form is:
2407 = 291×831
Prime Factorization of 2411
2411 | 2411 |
1 |
Prime factors of 2411 are 2411. Prime factorization of 2411 in exponential form is:
2411 = 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 2407 and 2411.
LCM(2407,2411) = 291×831×24111
LCM(2407,2411) = 5803277
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1, 29, 83, 2407
Factors of 2411
List of positive integer factors of 2411 that divides 2411 without a remainder.
1, 2411
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2407 and 2411, than apply into the LCM equation.
GCF(2407,2411) = 1
LCM(2407,2411) = ( 2407 × 2411) / 1
LCM(2407,2411) = 5803277 / 1
LCM(2407,2411) = 5803277
(i) The LCM of 2411 and 2407 is associative
LCM of 2407 and 2411 = LCM of 2411 and 2407
1. What is the LCM of 2407 and 2411?
Answer: LCM of 2407 and 2411 is 5803277.
2. What are the Factors of 2407?
Answer: Factors of 2407 are 1, 29, 83, 2407. There are 4 integers that are factors of 2407. The greatest factor of 2407 is 2407.
3. What are the Factors of 2411?
Answer: Factors of 2411 are 1, 2411. There are 2 integers that are factors of 2411. The greatest factor of 2411 is 2411.
4. How to Find the LCM of 2407 and 2411?
Answer:
Least Common Multiple of 2407 and 2411 = 5803277
Step 1: Find the prime factorization of 2407
2407 = 29 x 83
Step 2: Find the prime factorization of 2411
2411 = 2411
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5803277 = 29 x 83 x 2411
Step 4: Therefore, the least common multiple of 2407 and 2411 is 5803277.