Least Common Multiple of 1695 and 1700

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 1700 the smallest integer that is 576300 that is divisible by both numbers.

Least Common Multiple (LCM) of 1695 and 1700 is 576300.

LCM(1695,1700) = 576300

LCM of 1695 and 1700

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

LCM of:
and

Least Common Multiple of 1695 and 1700

LCM of 1695 and 1700 is 576300

Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1700. First we will calculate the prime factors of 1695 and 1700.

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 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2, 5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1700.

LCM(1695,1700) = 22×31×52×171×1131
LCM(1695,1700) = 576300

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 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700

Least Common Multiple of 1695 and 1700 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 1700, than apply into the LCM equation.

GCF(1695,1700) = 5
LCM(1695,1700) = ( 1695 × 1700) / 5
LCM(1695,1700) = 2881500 / 5
LCM(1695,1700) = 576300

Properties of LCM 1695 and 1700

(i) The LCM of 1700 and 1695 is associative

LCM of 1695 and 1700 = LCM of 1700 and 1695

Related Least Common Multiples of 1695

Related Least Common Multiples of 1700

Frequently Asked Questions on LCM of 1695 and 1700

1. What is the LCM of 1695 and 1700?

Answer: LCM of 1695 and 1700 is 576300.

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 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

4. How to Find the LCM of 1695 and 1700?

Answer:

Least Common Multiple of 1695 and 1700 = 576300

Step 1: Find the prime factorization of 1695

1695 = 3 x 5 x 113

Step 2: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

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

LCM = 576300 = 2 x 2 x 3 x 5 x 5 x 17 x 113

Step 4: Therefore, the least common multiple of 1695 and 1700 is 576300.