Least Common Multiple of 1716 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 1716 and 1721 the smallest integer that is 2953236 that is divisible by both numbers.

Least Common Multiple (LCM) of 1716 and 1721 is 2953236.

LCM(1716,1721) = 2953236

LCM of 1716 and 1721

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

LCM of:
and

Least Common Multiple of 1716 and 1721

LCM of 1716 and 1721 is 2953236

Least common multiple can be found by multiplying the highest exponent prime factors of 1716 and 1721. First we will calculate the prime factors of 1716 and 1721.

Prime Factorization of 1716


2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 1716 are 2, 3, 11,13. Prime factorization of 1716 in exponential form is:

1716 = 22×31×111×131

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 1716 and 1721.

LCM(1716,1721) = 22×31×111×131×17211
LCM(1716,1721) = 2953236

Factors of 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716

Factors of 1721

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

1, 1721

Least Common Multiple of 1716 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 1716 and 1721, than apply into the LCM equation.

GCF(1716,1721) = 1
LCM(1716,1721) = ( 1716 × 1721) / 1
LCM(1716,1721) = 2953236 / 1
LCM(1716,1721) = 2953236

Properties of LCM 1716 and 1721

(i) The LCM of 1721 and 1716 is associative

LCM of 1716 and 1721 = LCM of 1721 and 1716

Related Least Common Multiples of 1716

Related Least Common Multiples of 1721

Frequently Asked Questions on LCM of 1716 and 1721

1. What is the LCM of 1716 and 1721?

Answer: LCM of 1716 and 1721 is 2953236.

2. What are the Factors of 1716?

Answer: Factors of 1716 are 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716. There are 24 integers that are factors of 1716. The greatest factor of 1716 is 1716.

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 1716 and 1721?

Answer:

Least Common Multiple of 1716 and 1721 = 2953236

Step 1: Find the prime factorization of 1716

1716 = 2 x 2 x 3 x 11 x 13

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 = 2953236 = 2 x 2 x 3 x 11 x 13 x 1721

Step 4: Therefore, the least common multiple of 1716 and 1721 is 2953236.