Least Common Multiple of 1722 and 1727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1722 and 1727 the smallest integer that is 2973894 that is divisible by both numbers.
Least Common Multiple (LCM) of 1722 and 1727 is 2973894.
LCM(1722,1727) = 2973894
LCM of 1722 and 1727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1722 and 1727 by Prime method
- Least Common Multiple of 1722 and 1727 with GCF Formula
LCM of 1722 and 1727 is 2973894
Least common multiple can be found by multiplying the highest exponent prime factors of 1722 and 1727. First we will calculate the prime factors of 1722 and 1727.
Prime Factorization of 1722
| 2 | 1722 |
| 3 | 861 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 1722 are 2, 3, 7,41. Prime factorization of 1722 in exponential form is:
1722 = 21×31×71×411
Prime Factorization of 1727
| 11 | 1727 |
| 157 | 157 |
| 1 |
Prime factors of 1727 are 11,157. Prime factorization of 1727 in exponential form is:
1727 = 111×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 1722 and 1727.
LCM(1722,1727) = 21×31×71×111×411×1571
LCM(1722,1727) = 2973894
Factors of 1722
List of positive integer factors of 1722 that divides 1722 without a remainder.
1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
Factors of 1727
List of positive integer factors of 1727 that divides 1727 without a remainder.
1, 11, 157, 1727
Least Common Multiple of 1722 and 1727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1722 and 1727, than apply into the LCM equation.
GCF(1722,1727) = 1
LCM(1722,1727) = ( 1722 × 1727) / 1
LCM(1722,1727) = 2973894 / 1
LCM(1722,1727) = 2973894
Properties of LCM 1722 and 1727
(i) The LCM of 1727 and 1722 is associative
LCM of 1722 and 1727 = LCM of 1727 and 1722
Related Least Common Multiples of 1722
Related Least Common Multiples of 1727
Frequently Asked Questions on LCM of 1722 and 1727
1. What is the LCM of 1722 and 1727?
Answer: LCM of 1722 and 1727 is 2973894.
2. What are the Factors of 1722?
Answer: Factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. There are 16 integers that are factors of 1722. The greatest factor of 1722 is 1722.
3. What are the Factors of 1727?
Answer: Factors of 1727 are 1, 11, 157, 1727. There are 4 integers that are factors of 1727. The greatest factor of 1727 is 1727.
4. How to Find the LCM of 1722 and 1727?
Answer:
Least Common Multiple of 1722 and 1727 = 2973894
Step 1: Find the prime factorization of 1722
1722 = 2 x 3 x 7 x 41
Step 2: Find the prime factorization of 1727
1727 = 11 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2973894 = 2 x 3 x 7 x 11 x 41 x 157
Step 4: Therefore, the least common multiple of 1722 and 1727 is 2973894.