Least Common Multiple of 1718 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 1718 and 1724 the smallest integer that is 1480916 that is divisible by both numbers.

Least Common Multiple (LCM) of 1718 and 1724 is 1480916.

LCM(1718,1724) = 1480916

LCM of 1718 and 1724

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

LCM of:
and

Least Common Multiple of 1718 and 1724

LCM of 1718 and 1724 is 1480916

Least common multiple can be found by multiplying the highest exponent prime factors of 1718 and 1724. First we will calculate the prime factors of 1718 and 1724.

Prime Factorization of 1718


2 1718
859 859
1

Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:

1718 = 21×8591

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 1718 and 1724.

LCM(1718,1724) = 22×4311×8591
LCM(1718,1724) = 1480916

Factors of 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1, 2, 859, 1718

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 1718 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 1718 and 1724, than apply into the LCM equation.

GCF(1718,1724) = 2
LCM(1718,1724) = ( 1718 × 1724) / 2
LCM(1718,1724) = 2961832 / 2
LCM(1718,1724) = 1480916

Properties of LCM 1718 and 1724

(i) The LCM of 1724 and 1718 is associative

LCM of 1718 and 1724 = LCM of 1724 and 1718

Related Least Common Multiples of 1718

Related Least Common Multiples of 1724

Frequently Asked Questions on LCM of 1718 and 1724

1. What is the LCM of 1718 and 1724?

Answer: LCM of 1718 and 1724 is 1480916.

2. What are the Factors of 1718?

Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.

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 1718 and 1724?

Answer:

Least Common Multiple of 1718 and 1724 = 1480916

Step 1: Find the prime factorization of 1718

1718 = 2 x 859

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 = 1480916 = 2 x 2 x 431 x 859

Step 4: Therefore, the least common multiple of 1718 and 1724 is 1480916.