Least Common Multiple of 4739 and 4743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4739 and 4743 the smallest integer that is 22477077 that is divisible by both numbers.
Least Common Multiple (LCM) of 4739 and 4743 is 22477077.
LCM(4739,4743) = 22477077
LCM of 4739 and 4743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4739 and 4743 by Prime method
- Least Common Multiple of 4739 and 4743 with GCF Formula
LCM of 4739 and 4743 is 22477077
Least common multiple can be found by multiplying the highest exponent prime factors of 4739 and 4743. First we will calculate the prime factors of 4739 and 4743.
Prime Factorization of 4739
| 7 | 4739 |
| 677 | 677 |
| 1 |
Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:
4739 = 71×6771
Prime Factorization of 4743
| 3 | 4743 |
| 3 | 1581 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 4743 are 3, 17,31. Prime factorization of 4743 in exponential form is:
4743 = 32×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4739 and 4743.
LCM(4739,4743) = 32×71×171×311×6771
LCM(4739,4743) = 22477077
Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1, 7, 677, 4739
Factors of 4743
List of positive integer factors of 4743 that divides 4743 without a remainder.
1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743
Least Common Multiple of 4739 and 4743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4739 and 4743, than apply into the LCM equation.
GCF(4739,4743) = 1
LCM(4739,4743) = ( 4739 × 4743) / 1
LCM(4739,4743) = 22477077 / 1
LCM(4739,4743) = 22477077
Properties of LCM 4739 and 4743
(i) The LCM of 4743 and 4739 is associative
LCM of 4739 and 4743 = LCM of 4743 and 4739
Related Least Common Multiples of 4739
Related Least Common Multiples of 4743
Frequently Asked Questions on LCM of 4739 and 4743
1. What is the LCM of 4739 and 4743?
Answer: LCM of 4739 and 4743 is 22477077.
2. What are the Factors of 4739?
Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.
3. What are the Factors of 4743?
Answer: Factors of 4743 are 1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743. There are 12 integers that are factors of 4743. The greatest factor of 4743 is 4743.
4. How to Find the LCM of 4739 and 4743?
Answer:
Least Common Multiple of 4739 and 4743 = 22477077
Step 1: Find the prime factorization of 4739
4739 = 7 x 677
Step 2: Find the prime factorization of 4743
4743 = 3 x 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22477077 = 3 x 3 x 7 x 17 x 31 x 677
Step 4: Therefore, the least common multiple of 4739 and 4743 is 22477077.