Least Common Multiple of 1724 and 1730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1724 and 1730 the smallest integer that is 1491260 that is divisible by both numbers.

Least Common Multiple (LCM) of 1724 and 1730 is 1491260.

LCM(1724,1730) = 1491260

LCM of 1724 and 1730

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

LCM of:
and

Least Common Multiple of 1724 and 1730

LCM of 1724 and 1730 is 1491260

Least common multiple can be found by multiplying the highest exponent prime factors of 1724 and 1730. First we will calculate the prime factors of 1724 and 1730.

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

Prime Factorization of 1730


2 1730
5 865
173 173
1

Prime factors of 1730 are 2, 5,173. Prime factorization of 1730 in exponential form is:

1730 = 21×51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1724 and 1730.

LCM(1724,1730) = 22×51×1731×4311
LCM(1724,1730) = 1491260

Factors of 1724

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

1, 2, 4, 431, 862, 1724

Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1, 2, 5, 10, 173, 346, 865, 1730

Least Common Multiple of 1724 and 1730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1724 and 1730, than apply into the LCM equation.

GCF(1724,1730) = 2
LCM(1724,1730) = ( 1724 × 1730) / 2
LCM(1724,1730) = 2982520 / 2
LCM(1724,1730) = 1491260

Properties of LCM 1724 and 1730

(i) The LCM of 1730 and 1724 is associative

LCM of 1724 and 1730 = LCM of 1730 and 1724

Related Least Common Multiples of 1724

Related Least Common Multiples of 1730

Frequently Asked Questions on LCM of 1724 and 1730

1. What is the LCM of 1724 and 1730?

Answer: LCM of 1724 and 1730 is 1491260.

2. 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.

3. What are the Factors of 1730?

Answer: Factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730. There are 8 integers that are factors of 1730. The greatest factor of 1730 is 1730.

4. How to Find the LCM of 1724 and 1730?

Answer:

Least Common Multiple of 1724 and 1730 = 1491260

Step 1: Find the prime factorization of 1724

1724 = 2 x 2 x 431

Step 2: Find the prime factorization of 1730

1730 = 2 x 5 x 173

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

LCM = 1491260 = 2 x 2 x 5 x 173 x 431

Step 4: Therefore, the least common multiple of 1724 and 1730 is 1491260.