Least Common Multiple of 1712 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 1712 and 1716 the smallest integer that is 734448 that is divisible by both numbers.

Least Common Multiple (LCM) of 1712 and 1716 is 734448.

LCM(1712,1716) = 734448

LCM of 1712 and 1716

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

LCM of:
and

Least Common Multiple of 1712 and 1716

LCM of 1712 and 1716 is 734448

Least common multiple can be found by multiplying the highest exponent prime factors of 1712 and 1716. First we will calculate the prime factors of 1712 and 1716.

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

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 1712 and 1716.

LCM(1712,1716) = 24×31×111×131×1071
LCM(1712,1716) = 734448

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1, 2, 4, 8, 16, 107, 214, 428, 856, 1712

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 1712 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 1712 and 1716, than apply into the LCM equation.

GCF(1712,1716) = 4
LCM(1712,1716) = ( 1712 × 1716) / 4
LCM(1712,1716) = 2937792 / 4
LCM(1712,1716) = 734448

Properties of LCM 1712 and 1716

(i) The LCM of 1716 and 1712 is associative

LCM of 1712 and 1716 = LCM of 1716 and 1712

Related Least Common Multiples of 1712

Related Least Common Multiples of 1716

Frequently Asked Questions on LCM of 1712 and 1716

1. What is the LCM of 1712 and 1716?

Answer: LCM of 1712 and 1716 is 734448.

2. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

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 1712 and 1716?

Answer:

Least Common Multiple of 1712 and 1716 = 734448

Step 1: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

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 = 734448 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 107

Step 4: Therefore, the least common multiple of 1712 and 1716 is 734448.