Least Common Multiple of 308405 and 308406
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 308406 the smallest integer that is 95113952430 that is divisible by both numbers.
Least Common Multiple (LCM) of 308405 and 308406 is 95113952430.
LCM(308405,308406) = 95113952430
LCM of 308405 and 308406
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 308405 and 308406 by Prime method
- Least Common Multiple of 308405 and 308406 with GCF Formula
LCM of 308405 and 308406 is 95113952430
Least common multiple can be found by multiplying the highest exponent prime factors of 308405 and 308406. First we will calculate the prime factors of 308405 and 308406.
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 308406
| 2 | 308406 |
| 3 | 154203 |
| 7 | 51401 |
| 7 | 7343 |
| 1049 | 1049 |
| 1 |
Prime factors of 308406 are 2, 3, 7,1049. Prime factorization of 308406 in exponential form is:
308406 = 21×31×72×10491
Now multiplying the highest exponent prime factors to calculate the LCM of 308405 and 308406.
LCM(308405,308406) = 21×31×51×72×10491×616811
LCM(308405,308406) = 95113952430
Factors of 308405
List of positive integer factors of 308405 that divides 308405 without a remainder.
1, 5, 61681, 308405
Factors of 308406
List of positive integer factors of 308406 that divides 308406 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406
Least Common Multiple of 308405 and 308406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308405 and 308406, than apply into the LCM equation.
GCF(308405,308406) = 1
LCM(308405,308406) = ( 308405 × 308406) / 1
LCM(308405,308406) = 95113952430 / 1
LCM(308405,308406) = 95113952430
Properties of LCM 308405 and 308406
(i) The LCM of 308406 and 308405 is associative
LCM of 308405 and 308406 = LCM of 308406 and 308405
Related Least Common Multiples of 308405
Related Least Common Multiples of 308406
Frequently Asked Questions on LCM of 308405 and 308406
1. What is the LCM of 308405 and 308406?
Answer: LCM of 308405 and 308406 is 95113952430.
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 308406?
Answer: Factors of 308406 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406. There are 24 integers that are factors of 308406. The greatest factor of 308406 is 308406.
4. How to Find the LCM of 308405 and 308406?
Answer:
Least Common Multiple of 308405 and 308406 = 95113952430
Step 1: Find the prime factorization of 308405
308405 = 5 x 61681
Step 2: Find the prime factorization of 308406
308406 = 2 x 3 x 7 x 7 x 1049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95113952430 = 2 x 3 x 5 x 7 x 7 x 1049 x 61681
Step 4: Therefore, the least common multiple of 308405 and 308406 is 95113952430.