Least Common Multiple of 1710 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 1710 and 1718 the smallest integer that is 1468890 that is divisible by both numbers.

Least Common Multiple (LCM) of 1710 and 1718 is 1468890.

LCM(1710,1718) = 1468890

LCM of 1710 and 1718

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

LCM of:
and

Least Common Multiple of 1710 and 1718

LCM of 1710 and 1718 is 1468890

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1718. First we will calculate the prime factors of 1710 and 1718.

Prime Factorization of 1710


2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 1710 are 2, 3, 5,19. Prime factorization of 1710 in exponential form is:

1710 = 21×32×51×191

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 1710 and 1718.

LCM(1710,1718) = 21×32×51×191×8591
LCM(1710,1718) = 1468890

Factors of 1710

List of positive integer factors of 1710 that divides 1710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710

Factors of 1718

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

1, 2, 859, 1718

Least Common Multiple of 1710 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 1710 and 1718, than apply into the LCM equation.

GCF(1710,1718) = 2
LCM(1710,1718) = ( 1710 × 1718) / 2
LCM(1710,1718) = 2937780 / 2
LCM(1710,1718) = 1468890

Properties of LCM 1710 and 1718

(i) The LCM of 1718 and 1710 is associative

LCM of 1710 and 1718 = LCM of 1718 and 1710

Related Least Common Multiples of 1710

Related Least Common Multiples of 1718

Frequently Asked Questions on LCM of 1710 and 1718

1. What is the LCM of 1710 and 1718?

Answer: LCM of 1710 and 1718 is 1468890.

2. What are the Factors of 1710?

Answer: Factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710. There are 24 integers that are factors of 1710. The greatest factor of 1710 is 1710.

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 1710 and 1718?

Answer:

Least Common Multiple of 1710 and 1718 = 1468890

Step 1: Find the prime factorization of 1710

1710 = 2 x 3 x 3 x 5 x 19

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 = 1468890 = 2 x 3 x 3 x 5 x 19 x 859

Step 4: Therefore, the least common multiple of 1710 and 1718 is 1468890.