Least Common Multiple of 4727 and 4731
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4727 and 4731 the smallest integer that is 22363437 that is divisible by both numbers.
Least Common Multiple (LCM) of 4727 and 4731 is 22363437.
LCM(4727,4731) = 22363437
LCM of 4727 and 4731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4727 and 4731 by Prime method
- Least Common Multiple of 4727 and 4731 with GCF Formula
LCM of 4727 and 4731 is 22363437
Least common multiple can be found by multiplying the highest exponent prime factors of 4727 and 4731. First we will calculate the prime factors of 4727 and 4731.
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
Prime Factorization of 4731
| 3 | 4731 |
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 4731 are 3, 19,83. Prime factorization of 4731 in exponential form is:
4731 = 31×191×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4727 and 4731.
LCM(4727,4731) = 31×191×291×831×1631
LCM(4727,4731) = 22363437
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1, 29, 163, 4727
Factors of 4731
List of positive integer factors of 4731 that divides 4731 without a remainder.
1, 3, 19, 57, 83, 249, 1577, 4731
Least Common Multiple of 4727 and 4731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4727 and 4731, than apply into the LCM equation.
GCF(4727,4731) = 1
LCM(4727,4731) = ( 4727 × 4731) / 1
LCM(4727,4731) = 22363437 / 1
LCM(4727,4731) = 22363437
Properties of LCM 4727 and 4731
(i) The LCM of 4731 and 4727 is associative
LCM of 4727 and 4731 = LCM of 4731 and 4727
Related Least Common Multiples of 4727
Related Least Common Multiples of 4731
Frequently Asked Questions on LCM of 4727 and 4731
1. What is the LCM of 4727 and 4731?
Answer: LCM of 4727 and 4731 is 22363437.
2. 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.
3. What are the Factors of 4731?
Answer: Factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731. There are 8 integers that are factors of 4731. The greatest factor of 4731 is 4731.
4. How to Find the LCM of 4727 and 4731?
Answer:
Least Common Multiple of 4727 and 4731 = 22363437
Step 1: Find the prime factorization of 4727
4727 = 29 x 163
Step 2: Find the prime factorization of 4731
4731 = 3 x 19 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22363437 = 3 x 19 x 29 x 83 x 163
Step 4: Therefore, the least common multiple of 4727 and 4731 is 22363437.