Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9341 and 9346 the smallest integer that is 87300986 that is divisible by both numbers.
Least Common Multiple (LCM) of 9341 and 9346 is 87300986.
LCM(9341,9346) = 87300986
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 9341 and 9346. First we will calculate the prime factors of 9341 and 9346.
Prime Factorization of 9341
9341 | 9341 |
1 |
Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:
9341 = 93411
Prime Factorization of 9346
2 | 9346 |
4673 | 4673 |
1 |
Prime factors of 9346 are 2,4673. Prime factorization of 9346 in exponential form is:
9346 = 21×46731
Now multiplying the highest exponent prime factors to calculate the LCM of 9341 and 9346.
LCM(9341,9346) = 21×46731×93411
LCM(9341,9346) = 87300986
Factors of 9341
List of positive integer factors of 9341 that divides 9341 without a remainder.
1, 9341
Factors of 9346
List of positive integer factors of 9346 that divides 9346 without a remainder.
1, 2, 4673, 9346
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9341 and 9346, than apply into the LCM equation.
GCF(9341,9346) = 1
LCM(9341,9346) = ( 9341 × 9346) / 1
LCM(9341,9346) = 87300986 / 1
LCM(9341,9346) = 87300986
(i) The LCM of 9346 and 9341 is associative
LCM of 9341 and 9346 = LCM of 9346 and 9341
1. What is the LCM of 9341 and 9346?
Answer: LCM of 9341 and 9346 is 87300986.
2. What are the Factors of 9341?
Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.
3. What are the Factors of 9346?
Answer: Factors of 9346 are 1, 2, 4673, 9346. There are 4 integers that are factors of 9346. The greatest factor of 9346 is 9346.
4. How to Find the LCM of 9341 and 9346?
Answer:
Least Common Multiple of 9341 and 9346 = 87300986
Step 1: Find the prime factorization of 9341
9341 = 9341
Step 2: Find the prime factorization of 9346
9346 = 2 x 4673
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87300986 = 2 x 4673 x 9341
Step 4: Therefore, the least common multiple of 9341 and 9346 is 87300986.