Least Common Multiple of 4070 and 4075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4070 and 4075 the smallest integer that is 3317050 that is divisible by both numbers.
Least Common Multiple (LCM) of 4070 and 4075 is 3317050.
LCM(4070,4075) = 3317050
LCM of 4070 and 4075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4070 and 4075 by Prime method
- Least Common Multiple of 4070 and 4075 with GCF Formula
LCM of 4070 and 4075 is 3317050
Least common multiple can be found by multiplying the highest exponent prime factors of 4070 and 4075. First we will calculate the prime factors of 4070 and 4075.
Prime Factorization of 4070
| 2 | 4070 |
| 5 | 2035 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 4070 are 2, 5, 11,37. Prime factorization of 4070 in exponential form is:
4070 = 21×51×111×371
Prime Factorization of 4075
| 5 | 4075 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:
4075 = 52×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4070 and 4075.
LCM(4070,4075) = 21×52×111×371×1631
LCM(4070,4075) = 3317050
Factors of 4070
List of positive integer factors of 4070 that divides 4070 without a remainder.
1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
Factors of 4075
List of positive integer factors of 4075 that divides 4075 without a remainder.
1, 5, 25, 163, 815, 4075
Least Common Multiple of 4070 and 4075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4070 and 4075, than apply into the LCM equation.
GCF(4070,4075) = 5
LCM(4070,4075) = ( 4070 × 4075) / 5
LCM(4070,4075) = 16585250 / 5
LCM(4070,4075) = 3317050
Properties of LCM 4070 and 4075
(i) The LCM of 4075 and 4070 is associative
LCM of 4070 and 4075 = LCM of 4075 and 4070
Related Least Common Multiples of 4070
Related Least Common Multiples of 4075
Frequently Asked Questions on LCM of 4070 and 4075
1. What is the LCM of 4070 and 4075?
Answer: LCM of 4070 and 4075 is 3317050.
2. What are the Factors of 4070?
Answer: Factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070. There are 16 integers that are factors of 4070. The greatest factor of 4070 is 4070.
3. What are the Factors of 4075?
Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.
4. How to Find the LCM of 4070 and 4075?
Answer:
Least Common Multiple of 4070 and 4075 = 3317050
Step 1: Find the prime factorization of 4070
4070 = 2 x 5 x 11 x 37
Step 2: Find the prime factorization of 4075
4075 = 5 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3317050 = 2 x 5 x 5 x 11 x 37 x 163
Step 4: Therefore, the least common multiple of 4070 and 4075 is 3317050.