Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9036 and 9041 the smallest integer that is 81694476 that is divisible by both numbers.
Least Common Multiple (LCM) of 9036 and 9041 is 81694476.
LCM(9036,9041) = 81694476
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 9036 and 9041. First we will calculate the prime factors of 9036 and 9041.
Prime Factorization of 9036
2 | 9036 |
2 | 4518 |
3 | 2259 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:
9036 = 22×32×2511
Prime Factorization of 9041
9041 | 9041 |
1 |
Prime factors of 9041 are 9041. Prime factorization of 9041 in exponential form is:
9041 = 90411
Now multiplying the highest exponent prime factors to calculate the LCM of 9036 and 9041.
LCM(9036,9041) = 22×32×2511×90411
LCM(9036,9041) = 81694476
Factors of 9036
List of positive integer factors of 9036 that divides 9036 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
Factors of 9041
List of positive integer factors of 9041 that divides 9041 without a remainder.
1, 9041
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9036 and 9041, than apply into the LCM equation.
GCF(9036,9041) = 1
LCM(9036,9041) = ( 9036 × 9041) / 1
LCM(9036,9041) = 81694476 / 1
LCM(9036,9041) = 81694476
(i) The LCM of 9041 and 9036 is associative
LCM of 9036 and 9041 = LCM of 9041 and 9036
1. What is the LCM of 9036 and 9041?
Answer: LCM of 9036 and 9041 is 81694476.
2. What are the Factors of 9036?
Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.
3. What are the Factors of 9041?
Answer: Factors of 9041 are 1, 9041. There are 2 integers that are factors of 9041. The greatest factor of 9041 is 9041.
4. How to Find the LCM of 9036 and 9041?
Answer:
Least Common Multiple of 9036 and 9041 = 81694476
Step 1: Find the prime factorization of 9036
9036 = 2 x 2 x 3 x 3 x 251
Step 2: Find the prime factorization of 9041
9041 = 9041
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81694476 = 2 x 2 x 3 x 3 x 251 x 9041
Step 4: Therefore, the least common multiple of 9036 and 9041 is 81694476.