Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9626 and 9634 the smallest integer that is 46368442 that is divisible by both numbers.
Least Common Multiple (LCM) of 9626 and 9634 is 46368442.
LCM(9626,9634) = 46368442
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 9626 and 9634. First we will calculate the prime factors of 9626 and 9634.
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
Prime Factorization of 9634
2 | 9634 |
4817 | 4817 |
1 |
Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:
9634 = 21×48171
Now multiplying the highest exponent prime factors to calculate the LCM of 9626 and 9634.
LCM(9626,9634) = 21×48131×48171
LCM(9626,9634) = 46368442
Factors of 9626
List of positive integer factors of 9626 that divides 9626 without a remainder.
1, 2, 4813, 9626
Factors of 9634
List of positive integer factors of 9634 that divides 9634 without a remainder.
1, 2, 4817, 9634
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9626 and 9634, than apply into the LCM equation.
GCF(9626,9634) = 2
LCM(9626,9634) = ( 9626 × 9634) / 2
LCM(9626,9634) = 92736884 / 2
LCM(9626,9634) = 46368442
(i) The LCM of 9634 and 9626 is associative
LCM of 9626 and 9634 = LCM of 9634 and 9626
1. What is the LCM of 9626 and 9634?
Answer: LCM of 9626 and 9634 is 46368442.
2. 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.
3. What are the Factors of 9634?
Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.
4. How to Find the LCM of 9626 and 9634?
Answer:
Least Common Multiple of 9626 and 9634 = 46368442
Step 1: Find the prime factorization of 9626
9626 = 2 x 4813
Step 2: Find the prime factorization of 9634
9634 = 2 x 4817
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46368442 = 2 x 4813 x 4817
Step 4: Therefore, the least common multiple of 9626 and 9634 is 46368442.