Least Common Multiple of 1694 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 1694 and 1699 the smallest integer that is 2878106 that is divisible by both numbers.

Least Common Multiple (LCM) of 1694 and 1699 is 2878106.

LCM(1694,1699) = 2878106

LCM of 1694 and 1699

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

LCM of:
and

Least Common Multiple of 1694 and 1699

LCM of 1694 and 1699 is 2878106

Least common multiple can be found by multiplying the highest exponent prime factors of 1694 and 1699. First we will calculate the prime factors of 1694 and 1699.

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2, 7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

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 1694 and 1699.

LCM(1694,1699) = 21×71×112×16991
LCM(1694,1699) = 2878106

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Factors of 1699

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

1, 1699

Least Common Multiple of 1694 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 1694 and 1699, than apply into the LCM equation.

GCF(1694,1699) = 1
LCM(1694,1699) = ( 1694 × 1699) / 1
LCM(1694,1699) = 2878106 / 1
LCM(1694,1699) = 2878106

Properties of LCM 1694 and 1699

(i) The LCM of 1699 and 1694 is associative

LCM of 1694 and 1699 = LCM of 1699 and 1694

Related Least Common Multiples of 1694

Related Least Common Multiples of 1699

Frequently Asked Questions on LCM of 1694 and 1699

1. What is the LCM of 1694 and 1699?

Answer: LCM of 1694 and 1699 is 2878106.

2. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

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 1694 and 1699?

Answer:

Least Common Multiple of 1694 and 1699 = 2878106

Step 1: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

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 = 2878106 = 2 x 7 x 11 x 11 x 1699

Step 4: Therefore, the least common multiple of 1694 and 1699 is 2878106.