Least Common Multiple of 1695 and 1702

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 1702 the smallest integer that is 2884890 that is divisible by both numbers.

Least Common Multiple (LCM) of 1695 and 1702 is 2884890.

LCM(1695,1702) = 2884890

LCM of 1695 and 1702

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

LCM of:
and

Least Common Multiple of 1695 and 1702

LCM of 1695 and 1702 is 2884890

Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1702. First we will calculate the prime factors of 1695 and 1702.

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 1702


2 1702
23 851
37 37
1

Prime factors of 1702 are 2, 23,37. Prime factorization of 1702 in exponential form is:

1702 = 21×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1702.

LCM(1695,1702) = 21×31×51×231×371×1131
LCM(1695,1702) = 2884890

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 1702

List of positive integer factors of 1702 that divides 1702 without a remainder.

1, 2, 23, 37, 46, 74, 851, 1702

Least Common Multiple of 1695 and 1702 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 1702, than apply into the LCM equation.

GCF(1695,1702) = 1
LCM(1695,1702) = ( 1695 × 1702) / 1
LCM(1695,1702) = 2884890 / 1
LCM(1695,1702) = 2884890

Properties of LCM 1695 and 1702

(i) The LCM of 1702 and 1695 is associative

LCM of 1695 and 1702 = LCM of 1702 and 1695

Related Least Common Multiples of 1695

Related Least Common Multiples of 1702

Frequently Asked Questions on LCM of 1695 and 1702

1. What is the LCM of 1695 and 1702?

Answer: LCM of 1695 and 1702 is 2884890.

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 1702?

Answer: Factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702. There are 8 integers that are factors of 1702. The greatest factor of 1702 is 1702.

4. How to Find the LCM of 1695 and 1702?

Answer:

Least Common Multiple of 1695 and 1702 = 2884890

Step 1: Find the prime factorization of 1695

1695 = 3 x 5 x 113

Step 2: Find the prime factorization of 1702

1702 = 2 x 23 x 37

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

LCM = 2884890 = 2 x 3 x 5 x 23 x 37 x 113

Step 4: Therefore, the least common multiple of 1695 and 1702 is 2884890.