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 9427 the smallest integer that is 88821194 that is divisible by both numbers.
Least Common Multiple (LCM) of 9422 and 9427 is 88821194.
LCM(9422,9427) = 88821194
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 9427. First we will calculate the prime factors of 9422 and 9427.
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 9427
11 | 9427 |
857 | 857 |
1 |
Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:
9427 = 111×8571
Now multiplying the highest exponent prime factors to calculate the LCM of 9422 and 9427.
LCM(9422,9427) = 21×71×111×6731×8571
LCM(9422,9427) = 88821194
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 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1, 11, 857, 9427
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9422 and 9427, than apply into the LCM equation.
GCF(9422,9427) = 1
LCM(9422,9427) = ( 9422 × 9427) / 1
LCM(9422,9427) = 88821194 / 1
LCM(9422,9427) = 88821194
(i) The LCM of 9427 and 9422 is associative
LCM of 9422 and 9427 = LCM of 9427 and 9422
1. What is the LCM of 9422 and 9427?
Answer: LCM of 9422 and 9427 is 88821194.
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 9427?
Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.
4. How to Find the LCM of 9422 and 9427?
Answer:
Least Common Multiple of 9422 and 9427 = 88821194
Step 1: Find the prime factorization of 9422
9422 = 2 x 7 x 673
Step 2: Find the prime factorization of 9427
9427 = 11 x 857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88821194 = 2 x 7 x 11 x 673 x 857
Step 4: Therefore, the least common multiple of 9422 and 9427 is 88821194.