Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9422 and 9426 the smallest integer that is 44405886 that is divisible by both numbers.
Least Common Multiple (LCM) of 9422 and 9426 is 44405886.
LCM(9422,9426) = 44405886
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 9422 and 9426. First we will calculate the prime factors of 9422 and 9426.
Prime Factorization of 9422
2 | 9422 |
7 | 4711 |
673 | 673 |
1 |
Prime factors of 9422 are 2, 7,673. Prime factorization of 9422 in exponential form is:
9422 = 21×71×6731
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 9422 and 9426.
LCM(9422,9426) = 21×31×71×6731×15711
LCM(9422,9426) = 44405886
Factors of 9422
List of positive integer factors of 9422 that divides 9422 without a remainder.
1, 2, 7, 14, 673, 1346, 4711, 9422
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 9422 and 9426, than apply into the LCM equation.
GCF(9422,9426) = 2
LCM(9422,9426) = ( 9422 × 9426) / 2
LCM(9422,9426) = 88811772 / 2
LCM(9422,9426) = 44405886
(i) The LCM of 9426 and 9422 is associative
LCM of 9422 and 9426 = LCM of 9426 and 9422
1. What is the LCM of 9422 and 9426?
Answer: LCM of 9422 and 9426 is 44405886.
2. What are the Factors of 9422?
Answer: Factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422. There are 8 integers that are factors of 9422. The greatest factor of 9422 is 9422.
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 9422 and 9426?
Answer:
Least Common Multiple of 9422 and 9426 = 44405886
Step 1: Find the prime factorization of 9422
9422 = 2 x 7 x 673
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 = 44405886 = 2 x 3 x 7 x 673 x 1571
Step 4: Therefore, the least common multiple of 9422 and 9426 is 44405886.