Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2403 and 2409 the smallest integer that is 1929609 that is divisible by both numbers.
Least Common Multiple (LCM) of 2403 and 2409 is 1929609.
LCM(2403,2409) = 1929609
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 2403 and 2409. First we will calculate the prime factors of 2403 and 2409.
Prime Factorization of 2403
3 | 2403 |
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 2403 are 3,89. Prime factorization of 2403 in exponential form is:
2403 = 33×891
Prime Factorization of 2409
3 | 2409 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 2409 are 3, 11,73. Prime factorization of 2409 in exponential form is:
2409 = 31×111×731
Now multiplying the highest exponent prime factors to calculate the LCM of 2403 and 2409.
LCM(2403,2409) = 33×111×731×891
LCM(2403,2409) = 1929609
Factors of 2403
List of positive integer factors of 2403 that divides 2403 without a remainder.
1, 3, 9, 27, 89, 267, 801, 2403
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1, 3, 11, 33, 73, 219, 803, 2409
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2403 and 2409, than apply into the LCM equation.
GCF(2403,2409) = 3
LCM(2403,2409) = ( 2403 × 2409) / 3
LCM(2403,2409) = 5788827 / 3
LCM(2403,2409) = 1929609
(i) The LCM of 2409 and 2403 is associative
LCM of 2403 and 2409 = LCM of 2409 and 2403
1. What is the LCM of 2403 and 2409?
Answer: LCM of 2403 and 2409 is 1929609.
2. What are the Factors of 2403?
Answer: Factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403. There are 8 integers that are factors of 2403. The greatest factor of 2403 is 2403.
3. What are the Factors of 2409?
Answer: Factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409. There are 8 integers that are factors of 2409. The greatest factor of 2409 is 2409.
4. How to Find the LCM of 2403 and 2409?
Answer:
Least Common Multiple of 2403 and 2409 = 1929609
Step 1: Find the prime factorization of 2403
2403 = 3 x 3 x 3 x 89
Step 2: Find the prime factorization of 2409
2409 = 3 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1929609 = 3 x 3 x 3 x 11 x 73 x 89
Step 4: Therefore, the least common multiple of 2403 and 2409 is 1929609.