Least Common Multiple of 1712 and 1718

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 1718 the smallest integer that is 1470608 that is divisible by both numbers.

Least Common Multiple (LCM) of 1712 and 1718 is 1470608.

LCM(1712,1718) = 1470608

LCM of 1712 and 1718

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

LCM of:
and

Least Common Multiple of 1712 and 1718

LCM of 1712 and 1718 is 1470608

Least common multiple can be found by multiplying the highest exponent prime factors of 1712 and 1718. First we will calculate the prime factors of 1712 and 1718.

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 1718


2 1718
859 859
1

Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:

1718 = 21×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 1712 and 1718.

LCM(1712,1718) = 24×1071×8591
LCM(1712,1718) = 1470608

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 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1, 2, 859, 1718

Least Common Multiple of 1712 and 1718 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 1718, than apply into the LCM equation.

GCF(1712,1718) = 2
LCM(1712,1718) = ( 1712 × 1718) / 2
LCM(1712,1718) = 2941216 / 2
LCM(1712,1718) = 1470608

Properties of LCM 1712 and 1718

(i) The LCM of 1718 and 1712 is associative

LCM of 1712 and 1718 = LCM of 1718 and 1712

Related Least Common Multiples of 1712

Related Least Common Multiples of 1718

Frequently Asked Questions on LCM of 1712 and 1718

1. What is the LCM of 1712 and 1718?

Answer: LCM of 1712 and 1718 is 1470608.

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 1718?

Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.

4. How to Find the LCM of 1712 and 1718?

Answer:

Least Common Multiple of 1712 and 1718 = 1470608

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 1718

1718 = 2 x 859

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

LCM = 1470608 = 2 x 2 x 2 x 2 x 107 x 859

Step 4: Therefore, the least common multiple of 1712 and 1718 is 1470608.