Least Common Multiple of 2679 and 2683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2679 and 2683 the smallest integer that is 7187757 that is divisible by both numbers.

Least Common Multiple (LCM) of 2679 and 2683 is 7187757.

LCM(2679,2683) = 7187757

LCM of 2679 and 2683

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

LCM of:
and

Least Common Multiple of 2679 and 2683

LCM of 2679 and 2683 is 7187757

Least common multiple can be found by multiplying the highest exponent prime factors of 2679 and 2683. First we will calculate the prime factors of 2679 and 2683.

Prime Factorization of 2679


3 2679
19 893
47 47
1

Prime factors of 2679 are 3, 19,47. Prime factorization of 2679 in exponential form is:

2679 = 31×191×471

Prime Factorization of 2683


2683 2683
1

Prime factors of 2683 are 2683. Prime factorization of 2683 in exponential form is:

2683 = 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 2679 and 2683.

LCM(2679,2683) = 31×191×471×26831
LCM(2679,2683) = 7187757

Factors of 2679

List of positive integer factors of 2679 that divides 2679 without a remainder.

1, 3, 19, 47, 57, 141, 893, 2679

Factors of 2683

List of positive integer factors of 2683 that divides 2683 without a remainder.

1, 2683

Least Common Multiple of 2679 and 2683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2679 and 2683, than apply into the LCM equation.

GCF(2679,2683) = 1
LCM(2679,2683) = ( 2679 × 2683) / 1
LCM(2679,2683) = 7187757 / 1
LCM(2679,2683) = 7187757

Properties of LCM 2679 and 2683

(i) The LCM of 2683 and 2679 is associative

LCM of 2679 and 2683 = LCM of 2683 and 2679

Related Least Common Multiples of 2679

Related Least Common Multiples of 2683

Frequently Asked Questions on LCM of 2679 and 2683

1. What is the LCM of 2679 and 2683?

Answer: LCM of 2679 and 2683 is 7187757.

2. What are the Factors of 2679?

Answer: Factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679. There are 8 integers that are factors of 2679. The greatest factor of 2679 is 2679.

3. What are the Factors of 2683?

Answer: Factors of 2683 are 1, 2683. There are 2 integers that are factors of 2683. The greatest factor of 2683 is 2683.

4. How to Find the LCM of 2679 and 2683?

Answer:

Least Common Multiple of 2679 and 2683 = 7187757

Step 1: Find the prime factorization of 2679

2679 = 3 x 19 x 47

Step 2: Find the prime factorization of 2683

2683 = 2683

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

LCM = 7187757 = 3 x 19 x 47 x 2683

Step 4: Therefore, the least common multiple of 2679 and 2683 is 7187757.