Least Common Multiple of 1717 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 1717 and 1725 the smallest integer that is 2961825 that is divisible by both numbers.

Least Common Multiple (LCM) of 1717 and 1725 is 2961825.

LCM(1717,1725) = 2961825

LCM of 1717 and 1725

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

LCM of:
and

Least Common Multiple of 1717 and 1725

LCM of 1717 and 1725 is 2961825

Least common multiple can be found by multiplying the highest exponent prime factors of 1717 and 1725. First we will calculate the prime factors of 1717 and 1725.

Prime Factorization of 1717


17 1717
101 101
1

Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:

1717 = 171×1011

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 1717 and 1725.

LCM(1717,1725) = 31×52×171×231×1011
LCM(1717,1725) = 2961825

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1, 17, 101, 1717

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 1717 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 1717 and 1725, than apply into the LCM equation.

GCF(1717,1725) = 1
LCM(1717,1725) = ( 1717 × 1725) / 1
LCM(1717,1725) = 2961825 / 1
LCM(1717,1725) = 2961825

Properties of LCM 1717 and 1725

(i) The LCM of 1725 and 1717 is associative

LCM of 1717 and 1725 = LCM of 1725 and 1717

Related Least Common Multiples of 1717

Related Least Common Multiples of 1725

Frequently Asked Questions on LCM of 1717 and 1725

1. What is the LCM of 1717 and 1725?

Answer: LCM of 1717 and 1725 is 2961825.

2. What are the Factors of 1717?

Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.

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 1717 and 1725?

Answer:

Least Common Multiple of 1717 and 1725 = 2961825

Step 1: Find the prime factorization of 1717

1717 = 17 x 101

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 = 2961825 = 3 x 5 x 5 x 17 x 23 x 101

Step 4: Therefore, the least common multiple of 1717 and 1725 is 2961825.