Least Common Multiple of 4727 and 4732
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 4732 the smallest integer that is 22368164 that is divisible by both numbers.
Least Common Multiple (LCM) of 4727 and 4732 is 22368164.
LCM(4727,4732) = 22368164
LCM of 4727 and 4732
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4727 and 4732 by Prime method
- Least Common Multiple of 4727 and 4732 with GCF Formula
LCM of 4727 and 4732 is 22368164
Least common multiple can be found by multiplying the highest exponent prime factors of 4727 and 4732. First we will calculate the prime factors of 4727 and 4732.
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 4732
| 2 | 4732 |
| 2 | 2366 |
| 7 | 1183 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 4732 are 2, 7,13. Prime factorization of 4732 in exponential form is:
4732 = 22×71×132
Now multiplying the highest exponent prime factors to calculate the LCM of 4727 and 4732.
LCM(4727,4732) = 22×71×132×291×1631
LCM(4727,4732) = 22368164
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1, 29, 163, 4727
Factors of 4732
List of positive integer factors of 4732 that divides 4732 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
Least Common Multiple of 4727 and 4732 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 4732, than apply into the LCM equation.
GCF(4727,4732) = 1
LCM(4727,4732) = ( 4727 × 4732) / 1
LCM(4727,4732) = 22368164 / 1
LCM(4727,4732) = 22368164
Properties of LCM 4727 and 4732
(i) The LCM of 4732 and 4727 is associative
LCM of 4727 and 4732 = LCM of 4732 and 4727
Related Least Common Multiples of 4727
Related Least Common Multiples of 4732
Frequently Asked Questions on LCM of 4727 and 4732
1. What is the LCM of 4727 and 4732?
Answer: LCM of 4727 and 4732 is 22368164.
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 4732?
Answer: Factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732. There are 18 integers that are factors of 4732. The greatest factor of 4732 is 4732.
4. How to Find the LCM of 4727 and 4732?
Answer:
Least Common Multiple of 4727 and 4732 = 22368164
Step 1: Find the prime factorization of 4727
4727 = 29 x 163
Step 2: Find the prime factorization of 4732
4732 = 2 x 2 x 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22368164 = 2 x 2 x 7 x 13 x 13 x 29 x 163
Step 4: Therefore, the least common multiple of 4727 and 4732 is 22368164.