Least Common Multiple of 1717 and 1721

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 1721 the smallest integer that is 2954957 that is divisible by both numbers.

Least Common Multiple (LCM) of 1717 and 1721 is 2954957.

LCM(1717,1721) = 2954957

LCM of 1717 and 1721

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

LCM of:
and

Least Common Multiple of 1717 and 1721

LCM of 1717 and 1721 is 2954957

Least common multiple can be found by multiplying the highest exponent prime factors of 1717 and 1721. First we will calculate the prime factors of 1717 and 1721.

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 1721


1721 1721
1

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

1721 = 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 1717 and 1721.

LCM(1717,1721) = 171×1011×17211
LCM(1717,1721) = 2954957

Factors of 1717

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

1, 17, 101, 1717

Factors of 1721

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

1, 1721

Least Common Multiple of 1717 and 1721 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 1721, than apply into the LCM equation.

GCF(1717,1721) = 1
LCM(1717,1721) = ( 1717 × 1721) / 1
LCM(1717,1721) = 2954957 / 1
LCM(1717,1721) = 2954957

Properties of LCM 1717 and 1721

(i) The LCM of 1721 and 1717 is associative

LCM of 1717 and 1721 = LCM of 1721 and 1717

Related Least Common Multiples of 1717

Related Least Common Multiples of 1721

Frequently Asked Questions on LCM of 1717 and 1721

1. What is the LCM of 1717 and 1721?

Answer: LCM of 1717 and 1721 is 2954957.

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 1721?

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

4. How to Find the LCM of 1717 and 1721?

Answer:

Least Common Multiple of 1717 and 1721 = 2954957

Step 1: Find the prime factorization of 1717

1717 = 17 x 101

Step 2: Find the prime factorization of 1721

1721 = 1721

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

LCM = 2954957 = 17 x 101 x 1721

Step 4: Therefore, the least common multiple of 1717 and 1721 is 2954957.