Least Common Multiple of 1734 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 1734 and 1739 the smallest integer that is 3015426 that is divisible by both numbers.
Least Common Multiple (LCM) of 1734 and 1739 is 3015426.
LCM(1734,1739) = 3015426
LCM of 1734 and 1739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1734 and 1739 by Prime method
- Least Common Multiple of 1734 and 1739 with GCF Formula
LCM of 1734 and 1739 is 3015426
Least common multiple can be found by multiplying the highest exponent prime factors of 1734 and 1739. First we will calculate the prime factors of 1734 and 1739.
Prime Factorization of 1734
| 2 | 1734 |
| 3 | 867 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 1734 are 2, 3,17. Prime factorization of 1734 in exponential form is:
1734 = 21×31×172
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 1734 and 1739.
LCM(1734,1739) = 21×31×172×371×471
LCM(1734,1739) = 3015426
Factors of 1734
List of positive integer factors of 1734 that divides 1734 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734
Factors of 1739
List of positive integer factors of 1739 that divides 1739 without a remainder.
1, 37, 47, 1739
Least Common Multiple of 1734 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 1734 and 1739, than apply into the LCM equation.
GCF(1734,1739) = 1
LCM(1734,1739) = ( 1734 × 1739) / 1
LCM(1734,1739) = 3015426 / 1
LCM(1734,1739) = 3015426
Properties of LCM 1734 and 1739
(i) The LCM of 1739 and 1734 is associative
LCM of 1734 and 1739 = LCM of 1739 and 1734
Related Least Common Multiples of 1734
Related Least Common Multiples of 1739
Frequently Asked Questions on LCM of 1734 and 1739
1. What is the LCM of 1734 and 1739?
Answer: LCM of 1734 and 1739 is 3015426.
2. What are the Factors of 1734?
Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.
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 1734 and 1739?
Answer:
Least Common Multiple of 1734 and 1739 = 3015426
Step 1: Find the prime factorization of 1734
1734 = 2 x 3 x 17 x 17
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 = 3015426 = 2 x 3 x 17 x 17 x 37 x 47
Step 4: Therefore, the least common multiple of 1734 and 1739 is 3015426.
