Least Common Multiple of 1716 and 1723

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 1723 the smallest integer that is 2956668 that is divisible by both numbers.

Least Common Multiple (LCM) of 1716 and 1723 is 2956668.

LCM(1716,1723) = 2956668

LCM of 1716 and 1723

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

LCM of:
and

Least Common Multiple of 1716 and 1723

LCM of 1716 and 1723 is 2956668

Least common multiple can be found by multiplying the highest exponent prime factors of 1716 and 1723. First we will calculate the prime factors of 1716 and 1723.

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 1723


1723 1723
1

Prime factors of 1723 are 1723. Prime factorization of 1723 in exponential form is:

1723 = 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 1716 and 1723.

LCM(1716,1723) = 22×31×111×131×17231
LCM(1716,1723) = 2956668

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 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1, 1723

Least Common Multiple of 1716 and 1723 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 1723, than apply into the LCM equation.

GCF(1716,1723) = 1
LCM(1716,1723) = ( 1716 × 1723) / 1
LCM(1716,1723) = 2956668 / 1
LCM(1716,1723) = 2956668

Properties of LCM 1716 and 1723

(i) The LCM of 1723 and 1716 is associative

LCM of 1716 and 1723 = LCM of 1723 and 1716

Related Least Common Multiples of 1716

Related Least Common Multiples of 1723

Frequently Asked Questions on LCM of 1716 and 1723

1. What is the LCM of 1716 and 1723?

Answer: LCM of 1716 and 1723 is 2956668.

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 1723?

Answer: Factors of 1723 are 1, 1723. There are 2 integers that are factors of 1723. The greatest factor of 1723 is 1723.

4. How to Find the LCM of 1716 and 1723?

Answer:

Least Common Multiple of 1716 and 1723 = 2956668

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 1723

1723 = 1723

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

LCM = 2956668 = 2 x 2 x 3 x 11 x 13 x 1723

Step 4: Therefore, the least common multiple of 1716 and 1723 is 2956668.