Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1731 and 1735 the smallest integer that is 3003285 that is divisible by both numbers.
Least Common Multiple (LCM) of 1731 and 1735 is 3003285.
LCM(1731,1735) = 3003285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1731 and 1735. First we will calculate the prime factors of 1731 and 1735.
Prime Factorization of 1731
3 | 1731 |
577 | 577 |
1 |
Prime factors of 1731 are 3,577. Prime factorization of 1731 in exponential form is:
1731 = 31×5771
Prime Factorization of 1735
5 | 1735 |
347 | 347 |
1 |
Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:
1735 = 51×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 1731 and 1735.
LCM(1731,1735) = 31×51×3471×5771
LCM(1731,1735) = 3003285
Factors of 1731
List of positive integer factors of 1731 that divides 1731 without a remainder.
1, 3, 577, 1731
Factors of 1735
List of positive integer factors of 1735 that divides 1735 without a remainder.
1, 5, 347, 1735
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1731 and 1735, than apply into the LCM equation.
GCF(1731,1735) = 1
LCM(1731,1735) = ( 1731 × 1735) / 1
LCM(1731,1735) = 3003285 / 1
LCM(1731,1735) = 3003285
(i) The LCM of 1735 and 1731 is associative
LCM of 1731 and 1735 = LCM of 1735 and 1731
1. What is the LCM of 1731 and 1735?
Answer: LCM of 1731 and 1735 is 3003285.
2. What are the Factors of 1731?
Answer: Factors of 1731 are 1, 3, 577, 1731. There are 4 integers that are factors of 1731. The greatest factor of 1731 is 1731.
3. What are the Factors of 1735?
Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.
4. How to Find the LCM of 1731 and 1735?
Answer:
Least Common Multiple of 1731 and 1735 = 3003285
Step 1: Find the prime factorization of 1731
1731 = 3 x 577
Step 2: Find the prime factorization of 1735
1735 = 5 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3003285 = 3 x 5 x 347 x 577
Step 4: Therefore, the least common multiple of 1731 and 1735 is 3003285.