Least Common Multiple of 2680 and 2687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2680 and 2687 the smallest integer that is 7201160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2680 and 2687 is 7201160.

LCM(2680,2687) = 7201160

LCM of 2680 and 2687

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

LCM of:
and

Least Common Multiple of 2680 and 2687

LCM of 2680 and 2687 is 7201160

Least common multiple can be found by multiplying the highest exponent prime factors of 2680 and 2687. First we will calculate the prime factors of 2680 and 2687.

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

Prime Factorization of 2687


2687 2687
1

Prime factors of 2687 are 2687. Prime factorization of 2687 in exponential form is:

2687 = 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 2680 and 2687.

LCM(2680,2687) = 23×51×671×26871
LCM(2680,2687) = 7201160

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

Factors of 2687

List of positive integer factors of 2687 that divides 2687 without a remainder.

1, 2687

Least Common Multiple of 2680 and 2687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2680 and 2687, than apply into the LCM equation.

GCF(2680,2687) = 1
LCM(2680,2687) = ( 2680 × 2687) / 1
LCM(2680,2687) = 7201160 / 1
LCM(2680,2687) = 7201160

Properties of LCM 2680 and 2687

(i) The LCM of 2687 and 2680 is associative

LCM of 2680 and 2687 = LCM of 2687 and 2680

Related Least Common Multiples of 2680

Related Least Common Multiples of 2687

Frequently Asked Questions on LCM of 2680 and 2687

1. What is the LCM of 2680 and 2687?

Answer: LCM of 2680 and 2687 is 7201160.

2. 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.

3. What are the Factors of 2687?

Answer: Factors of 2687 are 1, 2687. There are 2 integers that are factors of 2687. The greatest factor of 2687 is 2687.

4. How to Find the LCM of 2680 and 2687?

Answer:

Least Common Multiple of 2680 and 2687 = 7201160

Step 1: Find the prime factorization of 2680

2680 = 2 x 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 2687

2687 = 2687

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

LCM = 7201160 = 2 x 2 x 2 x 5 x 67 x 2687

Step 4: Therefore, the least common multiple of 2680 and 2687 is 7201160.