Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9290 and 9292 the smallest integer that is 43161340 that is divisible by both numbers.
Least Common Multiple (LCM) of 9290 and 9292 is 43161340.
LCM(9290,9292) = 43161340
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 9290 and 9292. First we will calculate the prime factors of 9290 and 9292.
Prime Factorization of 9290
2 | 9290 |
5 | 4645 |
929 | 929 |
1 |
Prime factors of 9290 are 2, 5,929. Prime factorization of 9290 in exponential form is:
9290 = 21×51×9291
Prime Factorization of 9292
2 | 9292 |
2 | 4646 |
23 | 2323 |
101 | 101 |
1 |
Prime factors of 9292 are 2, 23,101. Prime factorization of 9292 in exponential form is:
9292 = 22×231×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 9290 and 9292.
LCM(9290,9292) = 22×51×231×1011×9291
LCM(9290,9292) = 43161340
Factors of 9290
List of positive integer factors of 9290 that divides 9290 without a remainder.
1, 2, 5, 10, 929, 1858, 4645, 9290
Factors of 9292
List of positive integer factors of 9292 that divides 9292 without a remainder.
1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9290 and 9292, than apply into the LCM equation.
GCF(9290,9292) = 2
LCM(9290,9292) = ( 9290 × 9292) / 2
LCM(9290,9292) = 86322680 / 2
LCM(9290,9292) = 43161340
(i) The LCM of 9292 and 9290 is associative
LCM of 9290 and 9292 = LCM of 9292 and 9290
1. What is the LCM of 9290 and 9292?
Answer: LCM of 9290 and 9292 is 43161340.
2. What are the Factors of 9290?
Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.
3. What are the Factors of 9292?
Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.
4. How to Find the LCM of 9290 and 9292?
Answer:
Least Common Multiple of 9290 and 9292 = 43161340
Step 1: Find the prime factorization of 9290
9290 = 2 x 5 x 929
Step 2: Find the prime factorization of 9292
9292 = 2 x 2 x 23 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43161340 = 2 x 2 x 5 x 23 x 101 x 929
Step 4: Therefore, the least common multiple of 9290 and 9292 is 43161340.