Least Common Multiple of 9074 and 9081
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9074 and 9081 the smallest integer that is 82400994 that is divisible by both numbers.
Least Common Multiple (LCM) of 9074 and 9081 is 82400994.
LCM(9074,9081) = 82400994
LCM of 9074 and 9081
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9074 and 9081 by Prime method
- Least Common Multiple of 9074 and 9081 with GCF Formula
LCM of 9074 and 9081 is 82400994
Least common multiple can be found by multiplying the highest exponent prime factors of 9074 and 9081. First we will calculate the prime factors of 9074 and 9081.
Prime Factorization of 9074
| 2 | 9074 |
| 13 | 4537 |
| 349 | 349 |
| 1 |
Prime factors of 9074 are 2, 13,349. Prime factorization of 9074 in exponential form is:
9074 = 21×131×3491
Prime Factorization of 9081
| 3 | 9081 |
| 3 | 3027 |
| 1009 | 1009 |
| 1 |
Prime factors of 9081 are 3,1009. Prime factorization of 9081 in exponential form is:
9081 = 32×10091
Now multiplying the highest exponent prime factors to calculate the LCM of 9074 and 9081.
LCM(9074,9081) = 21×32×131×3491×10091
LCM(9074,9081) = 82400994
Factors of 9074
List of positive integer factors of 9074 that divides 9074 without a remainder.
1, 2, 13, 26, 349, 698, 4537, 9074
Factors of 9081
List of positive integer factors of 9081 that divides 9081 without a remainder.
1, 3, 9, 1009, 3027, 9081
Least Common Multiple of 9074 and 9081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9074 and 9081, than apply into the LCM equation.
GCF(9074,9081) = 1
LCM(9074,9081) = ( 9074 × 9081) / 1
LCM(9074,9081) = 82400994 / 1
LCM(9074,9081) = 82400994
Properties of LCM 9074 and 9081
(i) The LCM of 9081 and 9074 is associative
LCM of 9074 and 9081 = LCM of 9081 and 9074
Related Least Common Multiples of 9074
Related Least Common Multiples of 9081
Frequently Asked Questions on LCM of 9074 and 9081
1. What is the LCM of 9074 and 9081?
Answer: LCM of 9074 and 9081 is 82400994.
2. What are the Factors of 9074?
Answer: Factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074. There are 8 integers that are factors of 9074. The greatest factor of 9074 is 9074.
3. What are the Factors of 9081?
Answer: Factors of 9081 are 1, 3, 9, 1009, 3027, 9081. There are 6 integers that are factors of 9081. The greatest factor of 9081 is 9081.
4. How to Find the LCM of 9074 and 9081?
Answer:
Least Common Multiple of 9074 and 9081 = 82400994
Step 1: Find the prime factorization of 9074
9074 = 2 x 13 x 349
Step 2: Find the prime factorization of 9081
9081 = 3 x 3 x 1009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82400994 = 2 x 3 x 3 x 13 x 349 x 1009
Step 4: Therefore, the least common multiple of 9074 and 9081 is 82400994.