Least Common Multiple of 1719 and 1723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1719 and 1723 the smallest integer that is 2961837 that is divisible by both numbers.

Least Common Multiple (LCM) of 1719 and 1723 is 2961837.

LCM(1719,1723) = 2961837

LCM of 1719 and 1723

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

LCM of:
and

Least Common Multiple of 1719 and 1723

LCM of 1719 and 1723 is 2961837

Least common multiple can be found by multiplying the highest exponent prime factors of 1719 and 1723. First we will calculate the prime factors of 1719 and 1723.

Prime Factorization of 1719


3 1719
3 573
191 191
1

Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:

1719 = 32×1911

Prime Factorization of 1723


1723 1723
1

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 1719 and 1723.

LCM(1719,1723) = 32×1911×17231
LCM(1719,1723) = 2961837

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1, 3, 9, 191, 573, 1719

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1, 1723

Least Common Multiple of 1719 and 1723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1719 and 1723, than apply into the LCM equation.

GCF(1719,1723) = 1
LCM(1719,1723) = ( 1719 × 1723) / 1
LCM(1719,1723) = 2961837 / 1
LCM(1719,1723) = 2961837

Properties of LCM 1719 and 1723

(i) The LCM of 1723 and 1719 is associative

LCM of 1719 and 1723 = LCM of 1723 and 1719

Related Least Common Multiples of 1719

Related Least Common Multiples of 1723

Frequently Asked Questions on LCM of 1719 and 1723

1. What is the LCM of 1719 and 1723?

Answer: LCM of 1719 and 1723 is 2961837.

2. What are the Factors of 1719?

Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.

3. 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.

4. How to Find the LCM of 1719 and 1723?

Answer:

Least Common Multiple of 1719 and 1723 = 2961837

Step 1: Find the prime factorization of 1719

1719 = 3 x 3 x 191

Step 2: Find the prime factorization of 1723

1723 = 1723

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2961837 = 3 x 3 x 191 x 1723

Step 4: Therefore, the least common multiple of 1719 and 1723 is 2961837.