Least Common Multiple of 1704 and 1711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1704 and 1711 the smallest integer that is 2915544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1704 and 1711 is 2915544.

LCM(1704,1711) = 2915544

LCM of 1704 and 1711

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

LCM of:
and

Least Common Multiple of 1704 and 1711

LCM of 1704 and 1711 is 2915544

Least common multiple can be found by multiplying the highest exponent prime factors of 1704 and 1711. First we will calculate the prime factors of 1704 and 1711.

Prime Factorization of 1704


2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 1704 are 2, 3,71. Prime factorization of 1704 in exponential form is:

1704 = 23×31×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1704 and 1711.

LCM(1704,1711) = 23×31×291×591×711
LCM(1704,1711) = 2915544

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704

Factors of 1711

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

1, 29, 59, 1711

Least Common Multiple of 1704 and 1711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1704 and 1711, than apply into the LCM equation.

GCF(1704,1711) = 1
LCM(1704,1711) = ( 1704 × 1711) / 1
LCM(1704,1711) = 2915544 / 1
LCM(1704,1711) = 2915544

Properties of LCM 1704 and 1711

(i) The LCM of 1711 and 1704 is associative

LCM of 1704 and 1711 = LCM of 1711 and 1704

Related Least Common Multiples of 1704

Related Least Common Multiples of 1711

Frequently Asked Questions on LCM of 1704 and 1711

1. What is the LCM of 1704 and 1711?

Answer: LCM of 1704 and 1711 is 2915544.

2. What are the Factors of 1704?

Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.

3. 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.

4. How to Find the LCM of 1704 and 1711?

Answer:

Least Common Multiple of 1704 and 1711 = 2915544

Step 1: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 1711

1711 = 29 x 59

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

LCM = 2915544 = 2 x 2 x 2 x 3 x 29 x 59 x 71

Step 4: Therefore, the least common multiple of 1704 and 1711 is 2915544.