Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 308421 and 308426 the smallest integer that is 95125055346 that is divisible by both numbers.
Least Common Multiple (LCM) of 308421 and 308426 is 95125055346.
LCM(308421,308426) = 95125055346
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 308421 and 308426. First we will calculate the prime factors of 308421 and 308426.
Prime Factorization of 308421
3 | 308421 |
3 | 102807 |
3 | 34269 |
11423 | 11423 |
1 |
Prime factors of 308421 are 3,11423. Prime factorization of 308421 in exponential form is:
308421 = 33×114231
Prime Factorization of 308426
2 | 308426 |
154213 | 154213 |
1 |
Prime factors of 308426 are 2,154213. Prime factorization of 308426 in exponential form is:
308426 = 21×1542131
Now multiplying the highest exponent prime factors to calculate the LCM of 308421 and 308426.
LCM(308421,308426) = 21×33×114231×1542131
LCM(308421,308426) = 95125055346
Factors of 308421
List of positive integer factors of 308421 that divides 308421 without a remainder.
1, 3, 9, 27, 11423, 34269, 102807, 308421
Factors of 308426
List of positive integer factors of 308426 that divides 308426 without a remainder.
1, 2, 154213, 308426
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308421 and 308426, than apply into the LCM equation.
GCF(308421,308426) = 1
LCM(308421,308426) = ( 308421 × 308426) / 1
LCM(308421,308426) = 95125055346 / 1
LCM(308421,308426) = 95125055346
(i) The LCM of 308426 and 308421 is associative
LCM of 308421 and 308426 = LCM of 308426 and 308421
1. What is the LCM of 308421 and 308426?
Answer: LCM of 308421 and 308426 is 95125055346.
2. What are the Factors of 308421?
Answer: Factors of 308421 are 1, 3, 9, 27, 11423, 34269, 102807, 308421. There are 8 integers that are factors of 308421. The greatest factor of 308421 is 308421.
3. What are the Factors of 308426?
Answer: Factors of 308426 are 1, 2, 154213, 308426. There are 4 integers that are factors of 308426. The greatest factor of 308426 is 308426.
4. How to Find the LCM of 308421 and 308426?
Answer:
Least Common Multiple of 308421 and 308426 = 95125055346
Step 1: Find the prime factorization of 308421
308421 = 3 x 3 x 3 x 11423
Step 2: Find the prime factorization of 308426
308426 = 2 x 154213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95125055346 = 2 x 3 x 3 x 3 x 11423 x 154213
Step 4: Therefore, the least common multiple of 308421 and 308426 is 95125055346.