Least Common Multiple of 1669 and 1674

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 1674 the smallest integer that is 2793906 that is divisible by both numbers.

Least Common Multiple (LCM) of 1669 and 1674 is 2793906.

LCM(1669,1674) = 2793906

LCM of 1669 and 1674

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

LCM of:
and

Least Common Multiple of 1669 and 1674

LCM of 1669 and 1674 is 2793906

Least common multiple can be found by multiplying the highest exponent prime factors of 1669 and 1674. First we will calculate the prime factors of 1669 and 1674.

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 1674


2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 1674 are 2, 3,31. Prime factorization of 1674 in exponential form is:

1674 = 21×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1669 and 1674.

LCM(1669,1674) = 21×33×311×16691
LCM(1669,1674) = 2793906

Factors of 1669

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

1, 1669

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

Least Common Multiple of 1669 and 1674 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 1674, than apply into the LCM equation.

GCF(1669,1674) = 1
LCM(1669,1674) = ( 1669 × 1674) / 1
LCM(1669,1674) = 2793906 / 1
LCM(1669,1674) = 2793906

Properties of LCM 1669 and 1674

(i) The LCM of 1674 and 1669 is associative

LCM of 1669 and 1674 = LCM of 1674 and 1669

Related Least Common Multiples of 1669

Related Least Common Multiples of 1674

Frequently Asked Questions on LCM of 1669 and 1674

1. What is the LCM of 1669 and 1674?

Answer: LCM of 1669 and 1674 is 2793906.

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 1674?

Answer: Factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674. There are 16 integers that are factors of 1674. The greatest factor of 1674 is 1674.

4. How to Find the LCM of 1669 and 1674?

Answer:

Least Common Multiple of 1669 and 1674 = 2793906

Step 1: Find the prime factorization of 1669

1669 = 1669

Step 2: Find the prime factorization of 1674

1674 = 2 x 3 x 3 x 3 x 31

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

LCM = 2793906 = 2 x 3 x 3 x 3 x 31 x 1669

Step 4: Therefore, the least common multiple of 1669 and 1674 is 2793906.