Least Common Multiple of 2679 and 2684

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 2684 the smallest integer that is 7190436 that is divisible by both numbers.

Least Common Multiple (LCM) of 2679 and 2684 is 7190436.

LCM(2679,2684) = 7190436

LCM of 2679 and 2684

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

LCM of:
and

Least Common Multiple of 2679 and 2684

LCM of 2679 and 2684 is 7190436

Least common multiple can be found by multiplying the highest exponent prime factors of 2679 and 2684. First we will calculate the prime factors of 2679 and 2684.

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 2684


2 2684
2 1342
11 671
61 61
1

Prime factors of 2684 are 2, 11,61. Prime factorization of 2684 in exponential form is:

2684 = 22×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2679 and 2684.

LCM(2679,2684) = 22×31×111×191×471×611
LCM(2679,2684) = 7190436

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 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684

Least Common Multiple of 2679 and 2684 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 2684, than apply into the LCM equation.

GCF(2679,2684) = 1
LCM(2679,2684) = ( 2679 × 2684) / 1
LCM(2679,2684) = 7190436 / 1
LCM(2679,2684) = 7190436

Properties of LCM 2679 and 2684

(i) The LCM of 2684 and 2679 is associative

LCM of 2679 and 2684 = LCM of 2684 and 2679

Related Least Common Multiples of 2679

Related Least Common Multiples of 2684

Frequently Asked Questions on LCM of 2679 and 2684

1. What is the LCM of 2679 and 2684?

Answer: LCM of 2679 and 2684 is 7190436.

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 2684?

Answer: Factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684. There are 12 integers that are factors of 2684. The greatest factor of 2684 is 2684.

4. How to Find the LCM of 2679 and 2684?

Answer:

Least Common Multiple of 2679 and 2684 = 7190436

Step 1: Find the prime factorization of 2679

2679 = 3 x 19 x 47

Step 2: Find the prime factorization of 2684

2684 = 2 x 2 x 11 x 61

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

LCM = 7190436 = 2 x 2 x 3 x 11 x 19 x 47 x 61

Step 4: Therefore, the least common multiple of 2679 and 2684 is 7190436.