Least Common Multiple of 1704 and 1710

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 1710 the smallest integer that is 485640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1704 and 1710 is 485640.

LCM(1704,1710) = 485640

LCM of 1704 and 1710

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

LCM of:
and

Least Common Multiple of 1704 and 1710

LCM of 1704 and 1710 is 485640

Least common multiple can be found by multiplying the highest exponent prime factors of 1704 and 1710. First we will calculate the prime factors of 1704 and 1710.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1704 and 1710.

LCM(1704,1710) = 23×32×51×191×711
LCM(1704,1710) = 485640

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 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

Least Common Multiple of 1704 and 1710 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 1710, than apply into the LCM equation.

GCF(1704,1710) = 6
LCM(1704,1710) = ( 1704 × 1710) / 6
LCM(1704,1710) = 2913840 / 6
LCM(1704,1710) = 485640

Properties of LCM 1704 and 1710

(i) The LCM of 1710 and 1704 is associative

LCM of 1704 and 1710 = LCM of 1710 and 1704

Related Least Common Multiples of 1704

Related Least Common Multiples of 1710

Frequently Asked Questions on LCM of 1704 and 1710

1. What is the LCM of 1704 and 1710?

Answer: LCM of 1704 and 1710 is 485640.

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 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.

4. How to Find the LCM of 1704 and 1710?

Answer:

Least Common Multiple of 1704 and 1710 = 485640

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 1710

1710 = 2 x 3 x 3 x 5 x 19

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

LCM = 485640 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 1704 and 1710 is 485640.