Least Common Multiple of 1695 and 1699

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 1699 the smallest integer that is 2879805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1695 and 1699 is 2879805.

LCM(1695,1699) = 2879805

LCM of 1695 and 1699

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

LCM of:
and

Least Common Multiple of 1695 and 1699

LCM of 1695 and 1699 is 2879805

Least common multiple can be found by multiplying the highest exponent prime factors of 1695 and 1699. First we will calculate the prime factors of 1695 and 1699.

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 1699


1699 1699
1

Prime factors of 1699 are 1699. Prime factorization of 1699 in exponential form is:

1699 = 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1699.

LCM(1695,1699) = 31×51×1131×16991
LCM(1695,1699) = 2879805

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 1699

List of positive integer factors of 1699 that divides 1699 without a remainder.

1, 1699

Least Common Multiple of 1695 and 1699 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 1699, than apply into the LCM equation.

GCF(1695,1699) = 1
LCM(1695,1699) = ( 1695 × 1699) / 1
LCM(1695,1699) = 2879805 / 1
LCM(1695,1699) = 2879805

Properties of LCM 1695 and 1699

(i) The LCM of 1699 and 1695 is associative

LCM of 1695 and 1699 = LCM of 1699 and 1695

Related Least Common Multiples of 1695

Related Least Common Multiples of 1699

Frequently Asked Questions on LCM of 1695 and 1699

1. What is the LCM of 1695 and 1699?

Answer: LCM of 1695 and 1699 is 2879805.

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 1699?

Answer: Factors of 1699 are 1, 1699. There are 2 integers that are factors of 1699. The greatest factor of 1699 is 1699.

4. How to Find the LCM of 1695 and 1699?

Answer:

Least Common Multiple of 1695 and 1699 = 2879805

Step 1: Find the prime factorization of 1695

1695 = 3 x 5 x 113

Step 2: Find the prime factorization of 1699

1699 = 1699

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

LCM = 2879805 = 3 x 5 x 113 x 1699

Step 4: Therefore, the least common multiple of 1695 and 1699 is 2879805.