Least Common Multiple of 1695 and 1701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1695 and 1701 the smallest integer that is 961065 that is divisible by both numbers.

Least Common Multiple (LCM) of 1695 and 1701 is 961065.

LCM(1695,1701) = 961065

LCM of 1695 and 1701

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

LCM of:
and

Least Common Multiple of 1695 and 1701

LCM of 1695 and 1701 is 961065

Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1701. First we will calculate the prime factors of 1695 and 1701.

Prime Factorization of 1695


3 1695
5 565
113 113
1

Prime factors of 1695 are 3, 5,113. Prime factorization of 1695 in exponential form is:

1695 = 31×51×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1701.

LCM(1695,1701) = 35×51×71×1131
LCM(1695,1701) = 961065

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1, 3, 5, 15, 113, 339, 565, 1695

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

Least Common Multiple of 1695 and 1701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1695 and 1701, than apply into the LCM equation.

GCF(1695,1701) = 3
LCM(1695,1701) = ( 1695 × 1701) / 3
LCM(1695,1701) = 2883195 / 3
LCM(1695,1701) = 961065

Properties of LCM 1695 and 1701

(i) The LCM of 1701 and 1695 is associative

LCM of 1695 and 1701 = LCM of 1701 and 1695

Related Least Common Multiples of 1695

Related Least Common Multiples of 1701

Frequently Asked Questions on LCM of 1695 and 1701

1. What is the LCM of 1695 and 1701?

Answer: LCM of 1695 and 1701 is 961065.

2. What are the Factors of 1695?

Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.

3. 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.

4. How to Find the LCM of 1695 and 1701?

Answer:

Least Common Multiple of 1695 and 1701 = 961065

Step 1: Find the prime factorization of 1695

1695 = 3 x 5 x 113

Step 2: Find the prime factorization of 1701

1701 = 3 x 3 x 3 x 3 x 3 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 = 961065 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 113

Step 4: Therefore, the least common multiple of 1695 and 1701 is 961065.