Least Common Multiple of 1711 and 1717

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 1717 the smallest integer that is 2937787 that is divisible by both numbers.

Least Common Multiple (LCM) of 1711 and 1717 is 2937787.

LCM(1711,1717) = 2937787

LCM of 1711 and 1717

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

LCM of:
and

Least Common Multiple of 1711 and 1717

LCM of 1711 and 1717 is 2937787

Least common multiple can be found by multiplying the highest exponent prime factors of 1711 and 1717. First we will calculate the prime factors of 1711 and 1717.

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 1717


17 1717
101 101
1

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

1717 = 171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1711 and 1717.

LCM(1711,1717) = 171×291×591×1011
LCM(1711,1717) = 2937787

Factors of 1711

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

1, 29, 59, 1711

Factors of 1717

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

1, 17, 101, 1717

Least Common Multiple of 1711 and 1717 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 1717, than apply into the LCM equation.

GCF(1711,1717) = 1
LCM(1711,1717) = ( 1711 × 1717) / 1
LCM(1711,1717) = 2937787 / 1
LCM(1711,1717) = 2937787

Properties of LCM 1711 and 1717

(i) The LCM of 1717 and 1711 is associative

LCM of 1711 and 1717 = LCM of 1717 and 1711

Related Least Common Multiples of 1711

Related Least Common Multiples of 1717

Frequently Asked Questions on LCM of 1711 and 1717

1. What is the LCM of 1711 and 1717?

Answer: LCM of 1711 and 1717 is 2937787.

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 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.

4. How to Find the LCM of 1711 and 1717?

Answer:

Least Common Multiple of 1711 and 1717 = 2937787

Step 1: Find the prime factorization of 1711

1711 = 29 x 59

Step 2: Find the prime factorization of 1717

1717 = 17 x 101

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

LCM = 2937787 = 17 x 29 x 59 x 101

Step 4: Therefore, the least common multiple of 1711 and 1717 is 2937787.