Least Common Multiple of 4719 and 4727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4719 and 4727 the smallest integer that is 22306713 that is divisible by both numbers.
Least Common Multiple (LCM) of 4719 and 4727 is 22306713.
LCM(4719,4727) = 22306713
LCM of 4719 and 4727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4719 and 4727 by Prime method
- Least Common Multiple of 4719 and 4727 with GCF Formula
LCM of 4719 and 4727 is 22306713
Least common multiple can be found by multiplying the highest exponent prime factors of 4719 and 4727. First we will calculate the prime factors of 4719 and 4727.
Prime Factorization of 4719
| 3 | 4719 |
| 11 | 1573 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 4719 are 3, 11,13. Prime factorization of 4719 in exponential form is:
4719 = 31×112×131
Prime Factorization of 4727
| 29 | 4727 |
| 163 | 163 |
| 1 |
Prime factors of 4727 are 29,163. Prime factorization of 4727 in exponential form is:
4727 = 291×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4719 and 4727.
LCM(4719,4727) = 31×112×131×291×1631
LCM(4719,4727) = 22306713
Factors of 4719
List of positive integer factors of 4719 that divides 4719 without a remainder.
1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1, 29, 163, 4727
Least Common Multiple of 4719 and 4727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4719 and 4727, than apply into the LCM equation.
GCF(4719,4727) = 1
LCM(4719,4727) = ( 4719 × 4727) / 1
LCM(4719,4727) = 22306713 / 1
LCM(4719,4727) = 22306713
Properties of LCM 4719 and 4727
(i) The LCM of 4727 and 4719 is associative
LCM of 4719 and 4727 = LCM of 4727 and 4719
Related Least Common Multiples of 4719
Related Least Common Multiples of 4727
Frequently Asked Questions on LCM of 4719 and 4727
1. What is the LCM of 4719 and 4727?
Answer: LCM of 4719 and 4727 is 22306713.
2. What are the Factors of 4719?
Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.
3. What are the Factors of 4727?
Answer: Factors of 4727 are 1, 29, 163, 4727. There are 4 integers that are factors of 4727. The greatest factor of 4727 is 4727.
4. How to Find the LCM of 4719 and 4727?
Answer:
Least Common Multiple of 4719 and 4727 = 22306713
Step 1: Find the prime factorization of 4719
4719 = 3 x 11 x 11 x 13
Step 2: Find the prime factorization of 4727
4727 = 29 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 = 22306713 = 3 x 11 x 11 x 13 x 29 x 163
Step 4: Therefore, the least common multiple of 4719 and 4727 is 22306713.