Least Common Multiple of 308413 and 308419
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 308413 and 308419 the smallest integer that is 95120429047 that is divisible by both numbers.
Least Common Multiple (LCM) of 308413 and 308419 is 95120429047.
LCM(308413,308419) = 95120429047
LCM of 308413 and 308419
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 308413 and 308419 by Prime method
- Least Common Multiple of 308413 and 308419 with GCF Formula
LCM of 308413 and 308419 is 95120429047
Least common multiple can be found by multiplying the highest exponent prime factors of 308413 and 308419. First we will calculate the prime factors of 308413 and 308419.
Prime Factorization of 308413
| 7 | 308413 |
| 44059 | 44059 |
| 1 |
Prime factors of 308413 are 7,44059. Prime factorization of 308413 in exponential form is:
308413 = 71×440591
Prime Factorization of 308419
| 31 | 308419 |
| 9949 | 9949 |
| 1 |
Prime factors of 308419 are 31,9949. Prime factorization of 308419 in exponential form is:
308419 = 311×99491
Now multiplying the highest exponent prime factors to calculate the LCM of 308413 and 308419.
LCM(308413,308419) = 71×311×99491×440591
LCM(308413,308419) = 95120429047
Factors of 308413
List of positive integer factors of 308413 that divides 308413 without a remainder.
1, 7, 44059, 308413
Factors of 308419
List of positive integer factors of 308419 that divides 308419 without a remainder.
1, 31, 9949, 308419
Least Common Multiple of 308413 and 308419 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308413 and 308419, than apply into the LCM equation.
GCF(308413,308419) = 1
LCM(308413,308419) = ( 308413 × 308419) / 1
LCM(308413,308419) = 95120429047 / 1
LCM(308413,308419) = 95120429047
Properties of LCM 308413 and 308419
(i) The LCM of 308419 and 308413 is associative
LCM of 308413 and 308419 = LCM of 308419 and 308413
Related Least Common Multiples of 308413
Related Least Common Multiples of 308419
Frequently Asked Questions on LCM of 308413 and 308419
1. What is the LCM of 308413 and 308419?
Answer: LCM of 308413 and 308419 is 95120429047.
2. What are the Factors of 308413?
Answer: Factors of 308413 are 1, 7, 44059, 308413. There are 4 integers that are factors of 308413. The greatest factor of 308413 is 308413.
3. What are the Factors of 308419?
Answer: Factors of 308419 are 1, 31, 9949, 308419. There are 4 integers that are factors of 308419. The greatest factor of 308419 is 308419.
4. How to Find the LCM of 308413 and 308419?
Answer:
Least Common Multiple of 308413 and 308419 = 95120429047
Step 1: Find the prime factorization of 308413
308413 = 7 x 44059
Step 2: Find the prime factorization of 308419
308419 = 31 x 9949
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95120429047 = 7 x 31 x 9949 x 44059
Step 4: Therefore, the least common multiple of 308413 and 308419 is 95120429047.