Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9421 and 9426 the smallest integer that is 88802346 that is divisible by both numbers.
Least Common Multiple (LCM) of 9421 and 9426 is 88802346.
LCM(9421,9426) = 88802346
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 9421 and 9426. First we will calculate the prime factors of 9421 and 9426.
Prime Factorization of 9421
9421 | 9421 |
1 |
Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:
9421 = 94211
Prime Factorization of 9426
2 | 9426 |
3 | 4713 |
1571 | 1571 |
1 |
Prime factors of 9426 are 2, 3,1571. Prime factorization of 9426 in exponential form is:
9426 = 21×31×15711
Now multiplying the highest exponent prime factors to calculate the LCM of 9421 and 9426.
LCM(9421,9426) = 21×31×15711×94211
LCM(9421,9426) = 88802346
Factors of 9421
List of positive integer factors of 9421 that divides 9421 without a remainder.
1, 9421
Factors of 9426
List of positive integer factors of 9426 that divides 9426 without a remainder.
1, 2, 3, 6, 1571, 3142, 4713, 9426
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9421 and 9426, than apply into the LCM equation.
GCF(9421,9426) = 1
LCM(9421,9426) = ( 9421 × 9426) / 1
LCM(9421,9426) = 88802346 / 1
LCM(9421,9426) = 88802346
(i) The LCM of 9426 and 9421 is associative
LCM of 9421 and 9426 = LCM of 9426 and 9421
1. What is the LCM of 9421 and 9426?
Answer: LCM of 9421 and 9426 is 88802346.
2. What are the Factors of 9421?
Answer: Factors of 9421 are 1, 9421. There are 2 integers that are factors of 9421. The greatest factor of 9421 is 9421.
3. What are the Factors of 9426?
Answer: Factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426. There are 8 integers that are factors of 9426. The greatest factor of 9426 is 9426.
4. How to Find the LCM of 9421 and 9426?
Answer:
Least Common Multiple of 9421 and 9426 = 88802346
Step 1: Find the prime factorization of 9421
9421 = 9421
Step 2: Find the prime factorization of 9426
9426 = 2 x 3 x 1571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88802346 = 2 x 3 x 1571 x 9421
Step 4: Therefore, the least common multiple of 9421 and 9426 is 88802346.