Least Common Multiple of 1719 and 1724

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 1724 the smallest integer that is 2963556 that is divisible by both numbers.

Least Common Multiple (LCM) of 1719 and 1724 is 2963556.

LCM(1719,1724) = 2963556

LCM of 1719 and 1724

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

LCM of:
and

Least Common Multiple of 1719 and 1724

LCM of 1719 and 1724 is 2963556

Least common multiple can be found by multiplying the highest exponent prime factors of 1719 and 1724. First we will calculate the prime factors of 1719 and 1724.

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 1724


2 1724
2 862
431 431
1

Prime factors of 1724 are 2,431. Prime factorization of 1724 in exponential form is:

1724 = 22×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 1719 and 1724.

LCM(1719,1724) = 22×32×1911×4311
LCM(1719,1724) = 2963556

Factors of 1719

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

1, 3, 9, 191, 573, 1719

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1, 2, 4, 431, 862, 1724

Least Common Multiple of 1719 and 1724 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 1724, than apply into the LCM equation.

GCF(1719,1724) = 1
LCM(1719,1724) = ( 1719 × 1724) / 1
LCM(1719,1724) = 2963556 / 1
LCM(1719,1724) = 2963556

Properties of LCM 1719 and 1724

(i) The LCM of 1724 and 1719 is associative

LCM of 1719 and 1724 = LCM of 1724 and 1719

Related Least Common Multiples of 1719

Related Least Common Multiples of 1724

Frequently Asked Questions on LCM of 1719 and 1724

1. What is the LCM of 1719 and 1724?

Answer: LCM of 1719 and 1724 is 2963556.

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 1724?

Answer: Factors of 1724 are 1, 2, 4, 431, 862, 1724. There are 6 integers that are factors of 1724. The greatest factor of 1724 is 1724.

4. How to Find the LCM of 1719 and 1724?

Answer:

Least Common Multiple of 1719 and 1724 = 2963556

Step 1: Find the prime factorization of 1719

1719 = 3 x 3 x 191

Step 2: Find the prime factorization of 1724

1724 = 2 x 2 x 431

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

LCM = 2963556 = 2 x 2 x 3 x 3 x 191 x 431

Step 4: Therefore, the least common multiple of 1719 and 1724 is 2963556.