Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9076 and 9081 the smallest integer that is 82419156 that is divisible by both numbers.
Least Common Multiple (LCM) of 9076 and 9081 is 82419156.
LCM(9076,9081) = 82419156
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 9076 and 9081. First we will calculate the prime factors of 9076 and 9081.
Prime Factorization of 9076
2 | 9076 |
2 | 4538 |
2269 | 2269 |
1 |
Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:
9076 = 22×22691
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 9076 and 9081.
LCM(9076,9081) = 22×32×10091×22691
LCM(9076,9081) = 82419156
Factors of 9076
List of positive integer factors of 9076 that divides 9076 without a remainder.
1, 2, 4, 2269, 4538, 9076
Factors of 9081
List of positive integer factors of 9081 that divides 9081 without a remainder.
1, 3, 9, 1009, 3027, 9081
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9076 and 9081, than apply into the LCM equation.
GCF(9076,9081) = 1
LCM(9076,9081) = ( 9076 × 9081) / 1
LCM(9076,9081) = 82419156 / 1
LCM(9076,9081) = 82419156
(i) The LCM of 9081 and 9076 is associative
LCM of 9076 and 9081 = LCM of 9081 and 9076
1. What is the LCM of 9076 and 9081?
Answer: LCM of 9076 and 9081 is 82419156.
2. What are the Factors of 9076?
Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.
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 9076 and 9081?
Answer:
Least Common Multiple of 9076 and 9081 = 82419156
Step 1: Find the prime factorization of 9076
9076 = 2 x 2 x 2269
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 = 82419156 = 2 x 2 x 3 x 3 x 1009 x 2269
Step 4: Therefore, the least common multiple of 9076 and 9081 is 82419156.