Least Common Multiple of 1738 and 1739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1738 and 1739 the smallest integer that is 3022382 that is divisible by both numbers.
Least Common Multiple (LCM) of 1738 and 1739 is 3022382.
LCM(1738,1739) = 3022382
LCM of 1738 and 1739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1738 and 1739 by Prime method
- Least Common Multiple of 1738 and 1739 with GCF Formula
LCM of 1738 and 1739 is 3022382
Least common multiple can be found by multiplying the highest exponent prime factors of 1738 and 1739. First we will calculate the prime factors of 1738 and 1739.
Prime Factorization of 1738
| 2 | 1738 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:
1738 = 21×111×791
Prime Factorization of 1739
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 1739 are 37,47. Prime factorization of 1739 in exponential form is:
1739 = 371×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1738 and 1739.
LCM(1738,1739) = 21×111×371×471×791
LCM(1738,1739) = 3022382
Factors of 1738
List of positive integer factors of 1738 that divides 1738 without a remainder.
1, 2, 11, 22, 79, 158, 869, 1738
Factors of 1739
List of positive integer factors of 1739 that divides 1739 without a remainder.
1, 37, 47, 1739
Least Common Multiple of 1738 and 1739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1738 and 1739, than apply into the LCM equation.
GCF(1738,1739) = 1
LCM(1738,1739) = ( 1738 × 1739) / 1
LCM(1738,1739) = 3022382 / 1
LCM(1738,1739) = 3022382
Properties of LCM 1738 and 1739
(i) The LCM of 1739 and 1738 is associative
LCM of 1738 and 1739 = LCM of 1739 and 1738
Related Least Common Multiples of 1738
Related Least Common Multiples of 1739
Frequently Asked Questions on LCM of 1738 and 1739
1. What is the LCM of 1738 and 1739?
Answer: LCM of 1738 and 1739 is 3022382.
2. What are the Factors of 1738?
Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.
3. What are the Factors of 1739?
Answer: Factors of 1739 are 1, 37, 47, 1739. There are 4 integers that are factors of 1739. The greatest factor of 1739 is 1739.
4. How to Find the LCM of 1738 and 1739?
Answer:
Least Common Multiple of 1738 and 1739 = 3022382
Step 1: Find the prime factorization of 1738
1738 = 2 x 11 x 79
Step 2: Find the prime factorization of 1739
1739 = 37 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3022382 = 2 x 11 x 37 x 47 x 79
Step 4: Therefore, the least common multiple of 1738 and 1739 is 3022382.