Least Common Multiple of 2673 and 2679

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 2679 the smallest integer that is 2386989 that is divisible by both numbers.

Least Common Multiple (LCM) of 2673 and 2679 is 2386989.

LCM(2673,2679) = 2386989

LCM of 2673 and 2679

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

LCM of:
and

Least Common Multiple of 2673 and 2679

LCM of 2673 and 2679 is 2386989

Least common multiple can be found by multiplying the highest exponent prime factors of 2673 and 2679. First we will calculate the prime factors of 2673 and 2679.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2673 and 2679.

LCM(2673,2679) = 35×111×191×471
LCM(2673,2679) = 2386989

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 2679

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

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

Least Common Multiple of 2673 and 2679 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 2679, than apply into the LCM equation.

GCF(2673,2679) = 3
LCM(2673,2679) = ( 2673 × 2679) / 3
LCM(2673,2679) = 7160967 / 3
LCM(2673,2679) = 2386989

Properties of LCM 2673 and 2679

(i) The LCM of 2679 and 2673 is associative

LCM of 2673 and 2679 = LCM of 2679 and 2673

Related Least Common Multiples of 2673

Related Least Common Multiples of 2679

Frequently Asked Questions on LCM of 2673 and 2679

1. What is the LCM of 2673 and 2679?

Answer: LCM of 2673 and 2679 is 2386989.

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 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.

4. How to Find the LCM of 2673 and 2679?

Answer:

Least Common Multiple of 2673 and 2679 = 2386989

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 2679

2679 = 3 x 19 x 47

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

LCM = 2386989 = 3 x 3 x 3 x 3 x 3 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 2673 and 2679 is 2386989.