Least Common Multiple of 4063 and 4070
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4063 and 4070 the smallest integer that is 16536410 that is divisible by both numbers.
Least Common Multiple (LCM) of 4063 and 4070 is 16536410.
LCM(4063,4070) = 16536410
LCM of 4063 and 4070
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4063 and 4070 by Prime method
- Least Common Multiple of 4063 and 4070 with GCF Formula
LCM of 4063 and 4070 is 16536410
Least common multiple can be found by multiplying the highest exponent prime factors of 4063 and 4070. First we will calculate the prime factors of 4063 and 4070.
Prime Factorization of 4063
| 17 | 4063 |
| 239 | 239 |
| 1 |
Prime factors of 4063 are 17,239. Prime factorization of 4063 in exponential form is:
4063 = 171×2391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4063 and 4070.
LCM(4063,4070) = 21×51×111×171×371×2391
LCM(4063,4070) = 16536410
Factors of 4063
List of positive integer factors of 4063 that divides 4063 without a remainder.
1, 17, 239, 4063
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
Least Common Multiple of 4063 and 4070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4063 and 4070, than apply into the LCM equation.
GCF(4063,4070) = 1
LCM(4063,4070) = ( 4063 × 4070) / 1
LCM(4063,4070) = 16536410 / 1
LCM(4063,4070) = 16536410
Properties of LCM 4063 and 4070
(i) The LCM of 4070 and 4063 is associative
LCM of 4063 and 4070 = LCM of 4070 and 4063
Related Least Common Multiples of 4063
Related Least Common Multiples of 4070
Frequently Asked Questions on LCM of 4063 and 4070
1. What is the LCM of 4063 and 4070?
Answer: LCM of 4063 and 4070 is 16536410.
2. What are the Factors of 4063?
Answer: Factors of 4063 are 1, 17, 239, 4063. There are 4 integers that are factors of 4063. The greatest factor of 4063 is 4063.
3. 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.
4. How to Find the LCM of 4063 and 4070?
Answer:
Least Common Multiple of 4063 and 4070 = 16536410
Step 1: Find the prime factorization of 4063
4063 = 17 x 239
Step 2: Find the prime factorization of 4070
4070 = 2 x 5 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16536410 = 2 x 5 x 11 x 17 x 37 x 239
Step 4: Therefore, the least common multiple of 4063 and 4070 is 16536410.