Least Common Multiple of 2668 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 2668 and 2673 the smallest integer that is 7131564 that is divisible by both numbers.

Least Common Multiple (LCM) of 2668 and 2673 is 7131564.

LCM(2668,2673) = 7131564

LCM of 2668 and 2673

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

LCM of:
and

Least Common Multiple of 2668 and 2673

LCM of 2668 and 2673 is 7131564

Least common multiple can be found by multiplying the highest exponent prime factors of 2668 and 2673. First we will calculate the prime factors of 2668 and 2673.

Prime Factorization of 2668


2 2668
2 1334
23 667
29 29
1

Prime factors of 2668 are 2, 23,29. Prime factorization of 2668 in exponential form is:

2668 = 22×231×291

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 2668 and 2673.

LCM(2668,2673) = 22×35×111×231×291
LCM(2668,2673) = 7131564

Factors of 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668

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 2668 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 2668 and 2673, than apply into the LCM equation.

GCF(2668,2673) = 1
LCM(2668,2673) = ( 2668 × 2673) / 1
LCM(2668,2673) = 7131564 / 1
LCM(2668,2673) = 7131564

Properties of LCM 2668 and 2673

(i) The LCM of 2673 and 2668 is associative

LCM of 2668 and 2673 = LCM of 2673 and 2668

Related Least Common Multiples of 2668

Related Least Common Multiples of 2673

Frequently Asked Questions on LCM of 2668 and 2673

1. What is the LCM of 2668 and 2673?

Answer: LCM of 2668 and 2673 is 7131564.

2. What are the Factors of 2668?

Answer: Factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668. There are 12 integers that are factors of 2668. The greatest factor of 2668 is 2668.

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 2668 and 2673?

Answer:

Least Common Multiple of 2668 and 2673 = 7131564

Step 1: Find the prime factorization of 2668

2668 = 2 x 2 x 23 x 29

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 = 7131564 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 2668 and 2673 is 7131564.