Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9046 and 9048 the smallest integer that is 40924104 that is divisible by both numbers.
Least Common Multiple (LCM) of 9046 and 9048 is 40924104.
LCM(9046,9048) = 40924104
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 9046 and 9048. First we will calculate the prime factors of 9046 and 9048.
Prime Factorization of 9046
2 | 9046 |
4523 | 4523 |
1 |
Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:
9046 = 21×45231
Prime Factorization of 9048
2 | 9048 |
2 | 4524 |
2 | 2262 |
3 | 1131 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 9048 are 2, 3, 13,29. Prime factorization of 9048 in exponential form is:
9048 = 23×31×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9046 and 9048.
LCM(9046,9048) = 23×31×131×291×45231
LCM(9046,9048) = 40924104
Factors of 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1, 2, 4523, 9046
Factors of 9048
List of positive integer factors of 9048 that divides 9048 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9046 and 9048, than apply into the LCM equation.
GCF(9046,9048) = 2
LCM(9046,9048) = ( 9046 × 9048) / 2
LCM(9046,9048) = 81848208 / 2
LCM(9046,9048) = 40924104
(i) The LCM of 9048 and 9046 is associative
LCM of 9046 and 9048 = LCM of 9048 and 9046
1. What is the LCM of 9046 and 9048?
Answer: LCM of 9046 and 9048 is 40924104.
2. What are the Factors of 9046?
Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.
3. What are the Factors of 9048?
Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.
4. How to Find the LCM of 9046 and 9048?
Answer:
Least Common Multiple of 9046 and 9048 = 40924104
Step 1: Find the prime factorization of 9046
9046 = 2 x 4523
Step 2: Find the prime factorization of 9048
9048 = 2 x 2 x 2 x 3 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40924104 = 2 x 2 x 2 x 3 x 13 x 29 x 4523
Step 4: Therefore, the least common multiple of 9046 and 9048 is 40924104.