Least Common Multiple of 1701 and 1708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1701 and 1708 the smallest integer that is 415044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1701 and 1708 is 415044.

LCM(1701,1708) = 415044

LCM of 1701 and 1708

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

LCM of:
and

Least Common Multiple of 1701 and 1708

LCM of 1701 and 1708 is 415044

Least common multiple can be found by multiplying the highest exponent prime factors of 1701 and 1708. First we will calculate the prime factors of 1701 and 1708.

Prime Factorization of 1701


3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1701 are 3,7. Prime factorization of 1701 in exponential form is:

1701 = 35×71

Prime Factorization of 1708


2 1708
2 854
7 427
61 61
1

Prime factors of 1708 are 2, 7,61. Prime factorization of 1708 in exponential form is:

1708 = 22×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1701 and 1708.

LCM(1701,1708) = 22×35×71×611
LCM(1701,1708) = 415044

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701

Factors of 1708

List of positive integer factors of 1708 that divides 1708 without a remainder.

1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708

Least Common Multiple of 1701 and 1708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1701 and 1708, than apply into the LCM equation.

GCF(1701,1708) = 7
LCM(1701,1708) = ( 1701 × 1708) / 7
LCM(1701,1708) = 2905308 / 7
LCM(1701,1708) = 415044

Properties of LCM 1701 and 1708

(i) The LCM of 1708 and 1701 is associative

LCM of 1701 and 1708 = LCM of 1708 and 1701

Related Least Common Multiples of 1701

Related Least Common Multiples of 1708

Frequently Asked Questions on LCM of 1701 and 1708

1. What is the LCM of 1701 and 1708?

Answer: LCM of 1701 and 1708 is 415044.

2. What are the Factors of 1701?

Answer: Factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701. There are 12 integers that are factors of 1701. The greatest factor of 1701 is 1701.

3. What are the Factors of 1708?

Answer: Factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708. There are 12 integers that are factors of 1708. The greatest factor of 1708 is 1708.

4. How to Find the LCM of 1701 and 1708?

Answer:

Least Common Multiple of 1701 and 1708 = 415044

Step 1: Find the prime factorization of 1701

1701 = 3 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 1708

1708 = 2 x 2 x 7 x 61

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

LCM = 415044 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 61

Step 4: Therefore, the least common multiple of 1701 and 1708 is 415044.