Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 309403 and 309409 the smallest integer that is 95732072827 that is divisible by both numbers.
Least Common Multiple (LCM) of 309403 and 309409 is 95732072827.
LCM(309403,309409) = 95732072827
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 309403 and 309409. First we will calculate the prime factors of 309403 and 309409.
Prime Factorization of 309403
309403 | 309403 |
1 |
Prime factors of 309403 are 309403. Prime factorization of 309403 in exponential form is:
309403 = 3094031
Prime Factorization of 309409
277 | 309409 |
1117 | 1117 |
1 |
Prime factors of 309409 are 277,1117. Prime factorization of 309409 in exponential form is:
309409 = 2771×11171
Now multiplying the highest exponent prime factors to calculate the LCM of 309403 and 309409.
LCM(309403,309409) = 2771×11171×3094031
LCM(309403,309409) = 95732072827
Factors of 309403
List of positive integer factors of 309403 that divides 309403 without a remainder.
1, 309403
Factors of 309409
List of positive integer factors of 309409 that divides 309409 without a remainder.
1, 277, 1117, 309409
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309403 and 309409, than apply into the LCM equation.
GCF(309403,309409) = 1
LCM(309403,309409) = ( 309403 × 309409) / 1
LCM(309403,309409) = 95732072827 / 1
LCM(309403,309409) = 95732072827
(i) The LCM of 309409 and 309403 is associative
LCM of 309403 and 309409 = LCM of 309409 and 309403
1. What is the LCM of 309403 and 309409?
Answer: LCM of 309403 and 309409 is 95732072827.
2. What are the Factors of 309403?
Answer: Factors of 309403 are 1, 309403. There are 2 integers that are factors of 309403. The greatest factor of 309403 is 309403.
3. What are the Factors of 309409?
Answer: Factors of 309409 are 1, 277, 1117, 309409. There are 4 integers that are factors of 309409. The greatest factor of 309409 is 309409.
4. How to Find the LCM of 309403 and 309409?
Answer:
Least Common Multiple of 309403 and 309409 = 95732072827
Step 1: Find the prime factorization of 309403
309403 = 309403
Step 2: Find the prime factorization of 309409
309409 = 277 x 1117
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95732072827 = 277 x 1117 x 309403
Step 4: Therefore, the least common multiple of 309403 and 309409 is 95732072827.