Least Common Multiple of 4739 and 4745
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 4745 the smallest integer that is 22486555 that is divisible by both numbers.
Least Common Multiple (LCM) of 4739 and 4745 is 22486555.
LCM(4739,4745) = 22486555
LCM of 4739 and 4745
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4739 and 4745 by Prime method
- Least Common Multiple of 4739 and 4745 with GCF Formula
LCM of 4739 and 4745 is 22486555
Least common multiple can be found by multiplying the highest exponent prime factors of 4739 and 4745. First we will calculate the prime factors of 4739 and 4745.
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 4745
| 5 | 4745 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 4745 are 5, 13,73. Prime factorization of 4745 in exponential form is:
4745 = 51×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 4739 and 4745.
LCM(4739,4745) = 51×71×131×731×6771
LCM(4739,4745) = 22486555
Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1, 7, 677, 4739
Factors of 4745
List of positive integer factors of 4745 that divides 4745 without a remainder.
1, 5, 13, 65, 73, 365, 949, 4745
Least Common Multiple of 4739 and 4745 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 4745, than apply into the LCM equation.
GCF(4739,4745) = 1
LCM(4739,4745) = ( 4739 × 4745) / 1
LCM(4739,4745) = 22486555 / 1
LCM(4739,4745) = 22486555
Properties of LCM 4739 and 4745
(i) The LCM of 4745 and 4739 is associative
LCM of 4739 and 4745 = LCM of 4745 and 4739
Related Least Common Multiples of 4739
Related Least Common Multiples of 4745
Frequently Asked Questions on LCM of 4739 and 4745
1. What is the LCM of 4739 and 4745?
Answer: LCM of 4739 and 4745 is 22486555.
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 4745?
Answer: Factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745. There are 8 integers that are factors of 4745. The greatest factor of 4745 is 4745.
4. How to Find the LCM of 4739 and 4745?
Answer:
Least Common Multiple of 4739 and 4745 = 22486555
Step 1: Find the prime factorization of 4739
4739 = 7 x 677
Step 2: Find the prime factorization of 4745
4745 = 5 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22486555 = 5 x 7 x 13 x 73 x 677
Step 4: Therefore, the least common multiple of 4739 and 4745 is 22486555.