Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9619 and 9626 the smallest integer that is 92592494 that is divisible by both numbers.
Least Common Multiple (LCM) of 9619 and 9626 is 92592494.
LCM(9619,9626) = 92592494
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 9619 and 9626. First we will calculate the prime factors of 9619 and 9626.
Prime Factorization of 9619
9619 | 9619 |
1 |
Prime factors of 9619 are 9619. Prime factorization of 9619 in exponential form is:
9619 = 96191
Prime Factorization of 9626
2 | 9626 |
4813 | 4813 |
1 |
Prime factors of 9626 are 2,4813. Prime factorization of 9626 in exponential form is:
9626 = 21×48131
Now multiplying the highest exponent prime factors to calculate the LCM of 9619 and 9626.
LCM(9619,9626) = 21×48131×96191
LCM(9619,9626) = 92592494
Factors of 9619
List of positive integer factors of 9619 that divides 9619 without a remainder.
1, 9619
Factors of 9626
List of positive integer factors of 9626 that divides 9626 without a remainder.
1, 2, 4813, 9626
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9619 and 9626, than apply into the LCM equation.
GCF(9619,9626) = 1
LCM(9619,9626) = ( 9619 × 9626) / 1
LCM(9619,9626) = 92592494 / 1
LCM(9619,9626) = 92592494
(i) The LCM of 9626 and 9619 is associative
LCM of 9619 and 9626 = LCM of 9626 and 9619
1. What is the LCM of 9619 and 9626?
Answer: LCM of 9619 and 9626 is 92592494.
2. What are the Factors of 9619?
Answer: Factors of 9619 are 1, 9619. There are 2 integers that are factors of 9619. The greatest factor of 9619 is 9619.
3. What are the Factors of 9626?
Answer: Factors of 9626 are 1, 2, 4813, 9626. There are 4 integers that are factors of 9626. The greatest factor of 9626 is 9626.
4. How to Find the LCM of 9619 and 9626?
Answer:
Least Common Multiple of 9619 and 9626 = 92592494
Step 1: Find the prime factorization of 9619
9619 = 9619
Step 2: Find the prime factorization of 9626
9626 = 2 x 4813
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92592494 = 2 x 4813 x 9619
Step 4: Therefore, the least common multiple of 9619 and 9626 is 92592494.