Least Common Multiple of 1711 and 1716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1711 and 1716 the smallest integer that is 2936076 that is divisible by both numbers.

Least Common Multiple (LCM) of 1711 and 1716 is 2936076.

LCM(1711,1716) = 2936076

LCM of 1711 and 1716

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

LCM of:
and

Least Common Multiple of 1711 and 1716

LCM of 1711 and 1716 is 2936076

Least common multiple can be found by multiplying the highest exponent prime factors of 1711 and 1716. First we will calculate the prime factors of 1711 and 1716.

Prime Factorization of 1711


29 1711
59 59
1

Prime factors of 1711 are 29,59. Prime factorization of 1711 in exponential form is:

1711 = 291×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1711 and 1716.

LCM(1711,1716) = 22×31×111×131×291×591
LCM(1711,1716) = 2936076

Factors of 1711

List of positive integer factors of 1711 that divides 1711 without a remainder.

1, 29, 59, 1711

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

Least Common Multiple of 1711 and 1716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1711 and 1716, than apply into the LCM equation.

GCF(1711,1716) = 1
LCM(1711,1716) = ( 1711 × 1716) / 1
LCM(1711,1716) = 2936076 / 1
LCM(1711,1716) = 2936076

Properties of LCM 1711 and 1716

(i) The LCM of 1716 and 1711 is associative

LCM of 1711 and 1716 = LCM of 1716 and 1711

Related Least Common Multiples of 1711

Related Least Common Multiples of 1716

Frequently Asked Questions on LCM of 1711 and 1716

1. What is the LCM of 1711 and 1716?

Answer: LCM of 1711 and 1716 is 2936076.

2. What are the Factors of 1711?

Answer: Factors of 1711 are 1, 29, 59, 1711. There are 4 integers that are factors of 1711. The greatest factor of 1711 is 1711.

3. 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.

4. How to Find the LCM of 1711 and 1716?

Answer:

Least Common Multiple of 1711 and 1716 = 2936076

Step 1: Find the prime factorization of 1711

1711 = 29 x 59

Step 2: Find the prime factorization of 1716

1716 = 2 x 2 x 3 x 11 x 13

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

LCM = 2936076 = 2 x 2 x 3 x 11 x 13 x 29 x 59

Step 4: Therefore, the least common multiple of 1711 and 1716 is 2936076.