Least Common Multiple of 1710 and 1715

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 1715 the smallest integer that is 586530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1710 and 1715 is 586530.

LCM(1710,1715) = 586530

LCM of 1710 and 1715

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

LCM of:
and

Least Common Multiple of 1710 and 1715

LCM of 1710 and 1715 is 586530

Least common multiple can be found by multiplying the highest exponent prime factors of 1710 and 1715. First we will calculate the prime factors of 1710 and 1715.

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 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

Now multiplying the highest exponent prime factors to calculate the LCM of 1710 and 1715.

LCM(1710,1715) = 21×32×51×73×191
LCM(1710,1715) = 586530

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 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715

Least Common Multiple of 1710 and 1715 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 1715, than apply into the LCM equation.

GCF(1710,1715) = 5
LCM(1710,1715) = ( 1710 × 1715) / 5
LCM(1710,1715) = 2932650 / 5
LCM(1710,1715) = 586530

Properties of LCM 1710 and 1715

(i) The LCM of 1715 and 1710 is associative

LCM of 1710 and 1715 = LCM of 1715 and 1710

Related Least Common Multiples of 1710

Related Least Common Multiples of 1715

Frequently Asked Questions on LCM of 1710 and 1715

1. What is the LCM of 1710 and 1715?

Answer: LCM of 1710 and 1715 is 586530.

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 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

4. How to Find the LCM of 1710 and 1715?

Answer:

Least Common Multiple of 1710 and 1715 = 586530

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 1715

1715 = 5 x 7 x 7 x 7

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

LCM = 586530 = 2 x 3 x 3 x 5 x 7 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 1710 and 1715 is 586530.