Least Common Multiple of 1695 and 1697

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 1697 the smallest integer that is 2876415 that is divisible by both numbers.

Least Common Multiple (LCM) of 1695 and 1697 is 2876415.

LCM(1695,1697) = 2876415

LCM of 1695 and 1697

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

LCM of:
and

Least Common Multiple of 1695 and 1697

LCM of 1695 and 1697 is 2876415

Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1697. First we will calculate the prime factors of 1695 and 1697.

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 1697


1697 1697
1

Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:

1697 = 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1697.

LCM(1695,1697) = 31×51×1131×16971
LCM(1695,1697) = 2876415

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 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1, 1697

Least Common Multiple of 1695 and 1697 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 1697, than apply into the LCM equation.

GCF(1695,1697) = 1
LCM(1695,1697) = ( 1695 × 1697) / 1
LCM(1695,1697) = 2876415 / 1
LCM(1695,1697) = 2876415

Properties of LCM 1695 and 1697

(i) The LCM of 1697 and 1695 is associative

LCM of 1695 and 1697 = LCM of 1697 and 1695

Related Least Common Multiples of 1695

Related Least Common Multiples of 1697

Frequently Asked Questions on LCM of 1695 and 1697

1. What is the LCM of 1695 and 1697?

Answer: LCM of 1695 and 1697 is 2876415.

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 1697?

Answer: Factors of 1697 are 1, 1697. There are 2 integers that are factors of 1697. The greatest factor of 1697 is 1697.

4. How to Find the LCM of 1695 and 1697?

Answer:

Least Common Multiple of 1695 and 1697 = 2876415

Step 1: Find the prime factorization of 1695

1695 = 3 x 5 x 113

Step 2: Find the prime factorization of 1697

1697 = 1697

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

LCM = 2876415 = 3 x 5 x 113 x 1697

Step 4: Therefore, the least common multiple of 1695 and 1697 is 2876415.