Least Common Multiple of 1669 and 1677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1669 and 1677 the smallest integer that is 2798913 that is divisible by both numbers.

Least Common Multiple (LCM) of 1669 and 1677 is 2798913.

LCM(1669,1677) = 2798913

LCM of 1669 and 1677

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

LCM of:
and

Least Common Multiple of 1669 and 1677

LCM of 1669 and 1677 is 2798913

Least common multiple can be found by multiplying the highest exponent prime factors of 1669 and 1677. First we will calculate the prime factors of 1669 and 1677.

Prime Factorization of 1669


1669 1669
1

Prime factors of 1669 are 1669. Prime factorization of 1669 in exponential form is:

1669 = 16691

Prime Factorization of 1677


3 1677
13 559
43 43
1

Prime factors of 1677 are 3, 13,43. Prime factorization of 1677 in exponential form is:

1677 = 31×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1669 and 1677.

LCM(1669,1677) = 31×131×431×16691
LCM(1669,1677) = 2798913

Factors of 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

1, 1669

Factors of 1677

List of positive integer factors of 1677 that divides 1677 without a remainder.

1, 3, 13, 39, 43, 129, 559, 1677

Least Common Multiple of 1669 and 1677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1669 and 1677, than apply into the LCM equation.

GCF(1669,1677) = 1
LCM(1669,1677) = ( 1669 × 1677) / 1
LCM(1669,1677) = 2798913 / 1
LCM(1669,1677) = 2798913

Properties of LCM 1669 and 1677

(i) The LCM of 1677 and 1669 is associative

LCM of 1669 and 1677 = LCM of 1677 and 1669

Related Least Common Multiples of 1669

Related Least Common Multiples of 1677

Frequently Asked Questions on LCM of 1669 and 1677

1. What is the LCM of 1669 and 1677?

Answer: LCM of 1669 and 1677 is 2798913.

2. What are the Factors of 1669?

Answer: Factors of 1669 are 1, 1669. There are 2 integers that are factors of 1669. The greatest factor of 1669 is 1669.

3. What are the Factors of 1677?

Answer: Factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677. There are 8 integers that are factors of 1677. The greatest factor of 1677 is 1677.

4. How to Find the LCM of 1669 and 1677?

Answer:

Least Common Multiple of 1669 and 1677 = 2798913

Step 1: Find the prime factorization of 1669

1669 = 1669

Step 2: Find the prime factorization of 1677

1677 = 3 x 13 x 43

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

LCM = 2798913 = 3 x 13 x 43 x 1669

Step 4: Therefore, the least common multiple of 1669 and 1677 is 2798913.