Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9038 and 9043 the smallest integer that is 81730634 that is divisible by both numbers.
Least Common Multiple (LCM) of 9038 and 9043 is 81730634.
LCM(9038,9043) = 81730634
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 9038 and 9043. First we will calculate the prime factors of 9038 and 9043.
Prime Factorization of 9038
2 | 9038 |
4519 | 4519 |
1 |
Prime factors of 9038 are 2,4519. Prime factorization of 9038 in exponential form is:
9038 = 21×45191
Prime Factorization of 9043
9043 | 9043 |
1 |
Prime factors of 9043 are 9043. Prime factorization of 9043 in exponential form is:
9043 = 90431
Now multiplying the highest exponent prime factors to calculate the LCM of 9038 and 9043.
LCM(9038,9043) = 21×45191×90431
LCM(9038,9043) = 81730634
Factors of 9038
List of positive integer factors of 9038 that divides 9038 without a remainder.
1, 2, 4519, 9038
Factors of 9043
List of positive integer factors of 9043 that divides 9043 without a remainder.
1, 9043
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9038 and 9043, than apply into the LCM equation.
GCF(9038,9043) = 1
LCM(9038,9043) = ( 9038 × 9043) / 1
LCM(9038,9043) = 81730634 / 1
LCM(9038,9043) = 81730634
(i) The LCM of 9043 and 9038 is associative
LCM of 9038 and 9043 = LCM of 9043 and 9038
1. What is the LCM of 9038 and 9043?
Answer: LCM of 9038 and 9043 is 81730634.
2. What are the Factors of 9038?
Answer: Factors of 9038 are 1, 2, 4519, 9038. There are 4 integers that are factors of 9038. The greatest factor of 9038 is 9038.
3. What are the Factors of 9043?
Answer: Factors of 9043 are 1, 9043. There are 2 integers that are factors of 9043. The greatest factor of 9043 is 9043.
4. How to Find the LCM of 9038 and 9043?
Answer:
Least Common Multiple of 9038 and 9043 = 81730634
Step 1: Find the prime factorization of 9038
9038 = 2 x 4519
Step 2: Find the prime factorization of 9043
9043 = 9043
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81730634 = 2 x 4519 x 9043
Step 4: Therefore, the least common multiple of 9038 and 9043 is 81730634.