Least Common Multiple of 1723 and 1726

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

LCM of 1723 and 1726

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1723 and 1726

LCM of 1723 and 1726 is 2973898

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

Least Common Multiple of 1723 and 1726 with GCF Formula

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

Properties of LCM 1723 and 1726

(i) The LCM of 1726 and 1723 is associative

LCM of 1723 and 1726 = LCM of 1726 and 1723

Related Least Common Multiples of 1723

Related Least Common Multiples of 1726

Frequently Asked Questions on LCM of 1723 and 1726

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.