Least Common Multiple of 2673 and 2678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2673 and 2678 the smallest integer that is 7158294 that is divisible by both numbers.

Least Common Multiple (LCM) of 2673 and 2678 is 7158294.

LCM(2673,2678) = 7158294

LCM of 2673 and 2678

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

LCM of:
and

Least Common Multiple of 2673 and 2678

LCM of 2673 and 2678 is 7158294

Least common multiple can be found by multiplying the highest exponent prime factors of 2673 and 2678. First we will calculate the prime factors of 2673 and 2678.

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

Prime Factorization of 2678


2 2678
13 1339
103 103
1

Prime factors of 2678 are 2, 13,103. Prime factorization of 2678 in exponential form is:

2678 = 21×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2673 and 2678.

LCM(2673,2678) = 21×35×111×131×1031
LCM(2673,2678) = 7158294

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

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339, 2678

Least Common Multiple of 2673 and 2678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2673 and 2678, than apply into the LCM equation.

GCF(2673,2678) = 1
LCM(2673,2678) = ( 2673 × 2678) / 1
LCM(2673,2678) = 7158294 / 1
LCM(2673,2678) = 7158294

Properties of LCM 2673 and 2678

(i) The LCM of 2678 and 2673 is associative

LCM of 2673 and 2678 = LCM of 2678 and 2673

Related Least Common Multiples of 2673

Related Least Common Multiples of 2678

Frequently Asked Questions on LCM of 2673 and 2678

1. What is the LCM of 2673 and 2678?

Answer: LCM of 2673 and 2678 is 7158294.

2. 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.

3. What are the Factors of 2678?

Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.

4. How to Find the LCM of 2673 and 2678?

Answer:

Least Common Multiple of 2673 and 2678 = 7158294

Step 1: Find the prime factorization of 2673

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

Step 2: Find the prime factorization of 2678

2678 = 2 x 13 x 103

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

LCM = 7158294 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 13 x 103

Step 4: Therefore, the least common multiple of 2673 and 2678 is 7158294.