Least Common Multiple of 2673 and 2680

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 2680 the smallest integer that is 7163640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2673 and 2680 is 7163640.

LCM(2673,2680) = 7163640

LCM of 2673 and 2680

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

LCM of:
and

Least Common Multiple of 2673 and 2680

LCM of 2673 and 2680 is 7163640

Least common multiple can be found by multiplying the highest exponent prime factors of 2673 and 2680. First we will calculate the prime factors of 2673 and 2680.

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 2680


2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 2680 are 2, 5,67. Prime factorization of 2680 in exponential form is:

2680 = 23×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2673 and 2680.

LCM(2673,2680) = 23×35×51×111×671
LCM(2673,2680) = 7163640

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 2680

List of positive integer factors of 2680 that divides 2680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680

Least Common Multiple of 2673 and 2680 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 2680, than apply into the LCM equation.

GCF(2673,2680) = 1
LCM(2673,2680) = ( 2673 × 2680) / 1
LCM(2673,2680) = 7163640 / 1
LCM(2673,2680) = 7163640

Properties of LCM 2673 and 2680

(i) The LCM of 2680 and 2673 is associative

LCM of 2673 and 2680 = LCM of 2680 and 2673

Related Least Common Multiples of 2673

Related Least Common Multiples of 2680

Frequently Asked Questions on LCM of 2673 and 2680

1. What is the LCM of 2673 and 2680?

Answer: LCM of 2673 and 2680 is 7163640.

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 2680?

Answer: Factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680. There are 16 integers that are factors of 2680. The greatest factor of 2680 is 2680.

4. How to Find the LCM of 2673 and 2680?

Answer:

Least Common Multiple of 2673 and 2680 = 7163640

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 2680

2680 = 2 x 2 x 2 x 5 x 67

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

LCM = 7163640 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 67

Step 4: Therefore, the least common multiple of 2673 and 2680 is 7163640.