Least Common Multiple of 1775 and 1781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1775 and 1781 the smallest integer that is 3161275 that is divisible by both numbers.
Least Common Multiple (LCM) of 1775 and 1781 is 3161275.
LCM(1775,1781) = 3161275
LCM of 1775 and 1781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1775 and 1781 by Prime method
- Least Common Multiple of 1775 and 1781 with GCF Formula
LCM of 1775 and 1781 is 3161275
Least common multiple can be found by multiplying the highest exponent prime factors of 1775 and 1781. First we will calculate the prime factors of 1775 and 1781.
Prime Factorization of 1775
| 5 | 1775 |
| 5 | 355 |
| 71 | 71 |
| 1 |
Prime factors of 1775 are 5,71. Prime factorization of 1775 in exponential form is:
1775 = 52×711
Prime Factorization of 1781
| 13 | 1781 |
| 137 | 137 |
| 1 |
Prime factors of 1781 are 13,137. Prime factorization of 1781 in exponential form is:
1781 = 131×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 1775 and 1781.
LCM(1775,1781) = 52×131×711×1371
LCM(1775,1781) = 3161275
Factors of 1775
List of positive integer factors of 1775 that divides 1775 without a remainder.
1, 5, 25, 71, 355, 1775
Factors of 1781
List of positive integer factors of 1781 that divides 1781 without a remainder.
1, 13, 137, 1781
Least Common Multiple of 1775 and 1781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1775 and 1781, than apply into the LCM equation.
GCF(1775,1781) = 1
LCM(1775,1781) = ( 1775 × 1781) / 1
LCM(1775,1781) = 3161275 / 1
LCM(1775,1781) = 3161275
Properties of LCM 1775 and 1781
(i) The LCM of 1781 and 1775 is associative
LCM of 1775 and 1781 = LCM of 1781 and 1775
Related Least Common Multiples of 1775
Related Least Common Multiples of 1781
Frequently Asked Questions on LCM of 1775 and 1781
1. What is the LCM of 1775 and 1781?
Answer: LCM of 1775 and 1781 is 3161275.
2. What are the Factors of 1775?
Answer: Factors of 1775 are 1, 5, 25, 71, 355, 1775. There are 6 integers that are factors of 1775. The greatest factor of 1775 is 1775.
3. What are the Factors of 1781?
Answer: Factors of 1781 are 1, 13, 137, 1781. There are 4 integers that are factors of 1781. The greatest factor of 1781 is 1781.
4. How to Find the LCM of 1775 and 1781?
Answer:
Least Common Multiple of 1775 and 1781 = 3161275
Step 1: Find the prime factorization of 1775
1775 = 5 x 5 x 71
Step 2: Find the prime factorization of 1781
1781 = 13 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3161275 = 5 x 5 x 13 x 71 x 137
Step 4: Therefore, the least common multiple of 1775 and 1781 is 3161275.