Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1723 and 1726 the smallest integer that is 2973898 that is divisible by both numbers.
Least Common Multiple (LCM) of 1723 and 1726 is 2973898.
LCM(1723,1726) = 2973898
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 1723 and 1726. First we will calculate the prime factors of 1723 and 1726.
Prime Factorization of 1723
1723 | 1723 |
1 |
Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:
1723 = 17231
Prime Factorization of 1726
2 | 1726 |
863 | 863 |
1 |
Prime factors of 1726 are 2,863. Prime factorization of 1726 in exponential form is:
1726 = 21×8631
Now multiplying the highest exponent prime factors to calculate the LCM of 1723 and 1726.
LCM(1723,1726) = 21×8631×17231
LCM(1723,1726) = 2973898
Factors of 1723
List of positive integer factors of 1723 that divides 1723 without a remainder.
1, 1723
Factors of 1726
List of positive integer factors of 1726 that divides 1726 without a remainder.
1, 2, 863, 1726
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1723 and 1726, than apply into the LCM equation.
GCF(1723,1726) = 1
LCM(1723,1726) = ( 1723 × 1726) / 1
LCM(1723,1726) = 2973898 / 1
LCM(1723,1726) = 2973898
(i) The LCM of 1726 and 1723 is associative
LCM of 1723 and 1726 = LCM of 1726 and 1723
1. What is the LCM of 1723 and 1726?
Answer: LCM of 1723 and 1726 is 2973898.
2. What are the Factors of 1723?
Answer: Factors of 1723 are 1, 1723. There are 2 integers that are factors of 1723. The greatest factor of 1723 is 1723.
3. What are the Factors of 1726?
Answer: Factors of 1726 are 1, 2, 863, 1726. There are 4 integers that are factors of 1726. The greatest factor of 1726 is 1726.
4. How to Find the LCM of 1723 and 1726?
Answer:
Least Common Multiple of 1723 and 1726 = 2973898
Step 1: Find the prime factorization of 1723
1723 = 1723
Step 2: Find the prime factorization of 1726
1726 = 2 x 863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2973898 = 2 x 863 x 1723
Step 4: Therefore, the least common multiple of 1723 and 1726 is 2973898.