Least Common Multiple of 1721 and 1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1721 and 1725 the smallest integer that is 2968725 that is divisible by both numbers.

Least Common Multiple (LCM) of 1721 and 1725 is 2968725.

LCM(1721,1725) = 2968725

LCM of 1721 and 1725

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

LCM of:
and

Least Common Multiple of 1721 and 1725

LCM of 1721 and 1725 is 2968725

Least common multiple can be found by multiplying the highest exponent prime factors of 1721 and 1725. First we will calculate the prime factors of 1721 and 1725.

Prime Factorization of 1721


1721 1721
1

Prime factors of 1721 are 1721. Prime factorization of 1721 in exponential form is:

1721 = 17211

Prime Factorization of 1725


3 1725
5 575
5 115
23 23
1

Prime factors of 1725 are 3, 5,23. Prime factorization of 1725 in exponential form is:

1725 = 31×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1721 and 1725.

LCM(1721,1725) = 31×52×231×17211
LCM(1721,1725) = 2968725

Factors of 1721

List of positive integer factors of 1721 that divides 1721 without a remainder.

1, 1721

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725

Least Common Multiple of 1721 and 1725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1721 and 1725, than apply into the LCM equation.

GCF(1721,1725) = 1
LCM(1721,1725) = ( 1721 × 1725) / 1
LCM(1721,1725) = 2968725 / 1
LCM(1721,1725) = 2968725

Properties of LCM 1721 and 1725

(i) The LCM of 1725 and 1721 is associative

LCM of 1721 and 1725 = LCM of 1725 and 1721

Related Least Common Multiples of 1721

Related Least Common Multiples of 1725

Frequently Asked Questions on LCM of 1721 and 1725

1. What is the LCM of 1721 and 1725?

Answer: LCM of 1721 and 1725 is 2968725.

2. What are the Factors of 1721?

Answer: Factors of 1721 are 1, 1721. There are 2 integers that are factors of 1721. The greatest factor of 1721 is 1721.

3. What are the Factors of 1725?

Answer: Factors of 1725 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725. There are 12 integers that are factors of 1725. The greatest factor of 1725 is 1725.

4. How to Find the LCM of 1721 and 1725?

Answer:

Least Common Multiple of 1721 and 1725 = 2968725

Step 1: Find the prime factorization of 1721

1721 = 1721

Step 2: Find the prime factorization of 1725

1725 = 3 x 5 x 5 x 23

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

LCM = 2968725 = 3 x 5 x 5 x 23 x 1721

Step 4: Therefore, the least common multiple of 1721 and 1725 is 2968725.