Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 308405 and 308411 the smallest integer that is 95115494455 that is divisible by both numbers.
Least Common Multiple (LCM) of 308405 and 308411 is 95115494455.
LCM(308405,308411) = 95115494455
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 308405 and 308411. First we will calculate the prime factors of 308405 and 308411.
Prime Factorization of 308405
5 | 308405 |
61681 | 61681 |
1 |
Prime factors of 308405 are 5,61681. Prime factorization of 308405 in exponential form is:
308405 = 51×616811
Prime Factorization of 308411
308411 | 308411 |
1 |
Prime factors of 308411 are 308411. Prime factorization of 308411 in exponential form is:
308411 = 3084111
Now multiplying the highest exponent prime factors to calculate the LCM of 308405 and 308411.
LCM(308405,308411) = 51×616811×3084111
LCM(308405,308411) = 95115494455
Factors of 308405
List of positive integer factors of 308405 that divides 308405 without a remainder.
1, 5, 61681, 308405
Factors of 308411
List of positive integer factors of 308411 that divides 308411 without a remainder.
1, 308411
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308405 and 308411, than apply into the LCM equation.
GCF(308405,308411) = 1
LCM(308405,308411) = ( 308405 × 308411) / 1
LCM(308405,308411) = 95115494455 / 1
LCM(308405,308411) = 95115494455
(i) The LCM of 308411 and 308405 is associative
LCM of 308405 and 308411 = LCM of 308411 and 308405
1. What is the LCM of 308405 and 308411?
Answer: LCM of 308405 and 308411 is 95115494455.
2. What are the Factors of 308405?
Answer: Factors of 308405 are 1, 5, 61681, 308405. There are 4 integers that are factors of 308405. The greatest factor of 308405 is 308405.
3. What are the Factors of 308411?
Answer: Factors of 308411 are 1, 308411. There are 2 integers that are factors of 308411. The greatest factor of 308411 is 308411.
4. How to Find the LCM of 308405 and 308411?
Answer:
Least Common Multiple of 308405 and 308411 = 95115494455
Step 1: Find the prime factorization of 308405
308405 = 5 x 61681
Step 2: Find the prime factorization of 308411
308411 = 308411
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95115494455 = 5 x 61681 x 308411
Step 4: Therefore, the least common multiple of 308405 and 308411 is 95115494455.