Least Common Multiple of 2669 and 2673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2669 and 2673 the smallest integer that is 7134237 that is divisible by both numbers.

Least Common Multiple (LCM) of 2669 and 2673 is 7134237.

LCM(2669,2673) = 7134237

LCM of 2669 and 2673

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

LCM of:
and

Least Common Multiple of 2669 and 2673

LCM of 2669 and 2673 is 7134237

Least common multiple can be found by multiplying the highest exponent prime factors of 2669 and 2673. First we will calculate the prime factors of 2669 and 2673.

Prime Factorization of 2669


17 2669
157 157
1

Prime factors of 2669 are 17,157. Prime factorization of 2669 in exponential form is:

2669 = 171×1571

Prime Factorization of 2673


3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 2673 are 3,11. Prime factorization of 2673 in exponential form is:

2673 = 35×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2669 and 2673.

LCM(2669,2673) = 35×111×171×1571
LCM(2669,2673) = 7134237

Factors of 2669

List of positive integer factors of 2669 that divides 2669 without a remainder.

1, 17, 157, 2669

Factors of 2673

List of positive integer factors of 2673 that divides 2673 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673

Least Common Multiple of 2669 and 2673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2669 and 2673, than apply into the LCM equation.

GCF(2669,2673) = 1
LCM(2669,2673) = ( 2669 × 2673) / 1
LCM(2669,2673) = 7134237 / 1
LCM(2669,2673) = 7134237

Properties of LCM 2669 and 2673

(i) The LCM of 2673 and 2669 is associative

LCM of 2669 and 2673 = LCM of 2673 and 2669

Related Least Common Multiples of 2669

Related Least Common Multiples of 2673

Frequently Asked Questions on LCM of 2669 and 2673

1. What is the LCM of 2669 and 2673?

Answer: LCM of 2669 and 2673 is 7134237.

2. What are the Factors of 2669?

Answer: Factors of 2669 are 1, 17, 157, 2669. There are 4 integers that are factors of 2669. The greatest factor of 2669 is 2669.

3. What are the Factors of 2673?

Answer: Factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673. There are 12 integers that are factors of 2673. The greatest factor of 2673 is 2673.

4. How to Find the LCM of 2669 and 2673?

Answer:

Least Common Multiple of 2669 and 2673 = 7134237

Step 1: Find the prime factorization of 2669

2669 = 17 x 157

Step 2: Find the prime factorization of 2673

2673 = 3 x 3 x 3 x 3 x 3 x 11

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

LCM = 7134237 = 3 x 3 x 3 x 3 x 3 x 11 x 17 x 157

Step 4: Therefore, the least common multiple of 2669 and 2673 is 7134237.