Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4046 and 4050 the smallest integer that is 8193150 that is divisible by both numbers.
Least Common Multiple (LCM) of 4046 and 4050 is 8193150.
LCM(4046,4050) = 8193150
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 4046 and 4050. First we will calculate the prime factors of 4046 and 4050.
Prime Factorization of 4046
2 | 4046 |
7 | 2023 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 4046 are 2, 7,17. Prime factorization of 4046 in exponential form is:
4046 = 21×71×172
Prime Factorization of 4050
2 | 4050 |
3 | 2025 |
3 | 675 |
3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 4050 are 2, 3,5. Prime factorization of 4050 in exponential form is:
4050 = 21×34×52
Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4050.
LCM(4046,4050) = 21×34×52×71×172
LCM(4046,4050) = 8193150
Factors of 4046
List of positive integer factors of 4046 that divides 4046 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
Factors of 4050
List of positive integer factors of 4050 that divides 4050 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4046 and 4050, than apply into the LCM equation.
GCF(4046,4050) = 2
LCM(4046,4050) = ( 4046 × 4050) / 2
LCM(4046,4050) = 16386300 / 2
LCM(4046,4050) = 8193150
(i) The LCM of 4050 and 4046 is associative
LCM of 4046 and 4050 = LCM of 4050 and 4046
1. What is the LCM of 4046 and 4050?
Answer: LCM of 4046 and 4050 is 8193150.
2. What are the Factors of 4046?
Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.
3. What are the Factors of 4050?
Answer: Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050. There are 30 integers that are factors of 4050. The greatest factor of 4050 is 4050.
4. How to Find the LCM of 4046 and 4050?
Answer:
Least Common Multiple of 4046 and 4050 = 8193150
Step 1: Find the prime factorization of 4046
4046 = 2 x 7 x 17 x 17
Step 2: Find the prime factorization of 4050
4050 = 2 x 3 x 3 x 3 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8193150 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 17 x 17
Step 4: Therefore, the least common multiple of 4046 and 4050 is 8193150.